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mathematics
precalculus 1st

Questions and Answers of Precalculus 1st

For the following exercises, use a calculator to find the length of each side to four decimal places.A radio tower is located 325 feet from a building. From a window in the building, a person
For the following exercises, use reference angles to evaluate the expression.If tan t = −1.4, what is the tan(−t)?
For the following exercises, find the reference angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is not one of the angles on the unit circle, use a
For the following exercises, solve for the unknown sides of the given triangle. b 4√2 a 45°
For the following exercises, use the given information to find the area of the sector. Round to four decimal places.A sector of a circle has a central angle of 30° and a radius of 20 cm.
For the following exercises, use a calculator to find the length of each side to four decimal places.A radio tower is located 400 feet from a building. From a window in the building, a person
For the following exercises, use reference angles to evaluate the expression.If csc t = 0.34, what is the csc(−t)?
For the following exercises, find the reference angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is not one of the angles on the unit circle, use a
For the following exercises, use Figure 1 to evaluate each trigonometric function.tan B B 11 Figure 1 A 6
For the following exercises, use a calculator to find the length of each side to four decimal places.Find x. 119 70° X- 26°
For the following exercises, use the given information to find the area of the sector. Round to four decimal places.A sector of a circle has a central angle of 45° and a radius 6 cm.
For the following exercises, use reference angles to evaluate the expression.If sec t = 3.1, what is the sec(−t)?
For the following exercises, find the reference angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is not one of the angles on the unit circle, use a
For the following exercises, use Figure 1 to evaluate each trigonometric function.sin A B 11 Figure 1 A 6
For the following exercises, use to given information to find the length of a circular arc. Round to two decimal places.Find the length of the arc of a circle of diameter 12 meters subtended by the
For the following exercises, use a calculator to find the length of each side to four decimal places.Find x. 115 56° X- 35°
For the following exercises, use reference angles to evaluate the expression.If cos t = 1/2 , what is the cos(−t)?
For the following exercises, find the reference angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is not one of the angles on the unit circle, use a
For the following exercises, use the given information to find the lengths of the other two sides of the right triangle.tan A = 5/9, b = 6
For the following exercises, use to given information to find the length of a circular arc. Round to two decimal places.Find the length of the arc of a circle of radius 5 inches subtended by the
For the following exercises, use a calculator to find the length of each side to four decimal places.Find x. 36° ·x. 85 50°
For the following exercises, use reference angles to evaluate the expression.If sin t = √2/2 , what is the sin(−t)?
For the following exercises, find the reference angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is not one of the angles on the unit circle, use a
For the following exercises, use a calculator to find the length of each side to four decimal places.Find x. 63° 82 39°
For the following exercises, use the given information to find the lengths of the other two sides of the right triangle.cos B = 3/5, a = 6
For the following exercises, use to given information to find the length of a circular arc. Round to two decimal places.Find the length of the arc of a circle of radius 10 centimeters subtended by
For the following exercises, find the reference angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is not one of the angles on the unit circle, use a
For the following exercises, use reference angles to evaluate the expression.If sin 40° ≈ 0.643 and cos 40° ≈ 0.766, find sec 40°, csc 40°, tan 40°, and cot 40°.
For the following exercises, use side lengths to evaluate.csc(18°) = sec(_____°)
For the following exercises, use to given information to find the length of a circular arc. Round to two decimal places.Find the length of the arc of a circle of diameter 14 meters subtended by the
For the following exercises, use a calculator to find the length of each side to four decimal places.b = 3.5, ∡ A = 78°
For the following exercises, find the reference angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is not one of the angles on the unit circle, use a
For the following exercises, use reference angles to evaluate the expression.If sin t = √3/2 and cos t = 1/2 , find sec t, csc t, tan t, and cot t.
For the following exercises, use side lengths to evaluate.cos (π/2) = sin(_____°)
For the following exercises, use to given information to find the length of a circular arc. Round to two decimal places.Find the length of the arc of a circle of radius 5.02 miles subtended by the
For the following exercises, use a calculator to find the length of each side to four decimal places.a = 30, ∡ A = 27°
For the following exercises, find the reference angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is not one of the angles on the unit circle, use a
For the following exercises, use reference angles to evaluate the expression.If tan t = 12/5, and 0 ≤ t < π/2 , find sin t, cos t, sec t, csc t, and cot t.
For the following exercises, use side lengths to evaluate.tan π/6
For the following exercises, state the reference angle for the given angle.−7π/4
For the following exercises, use a calculator to find the length of each side to four decimal places.c = 50, ∡ B = 21°
For the following exercises, find the reference angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is not one of the angles on the unit circle, use a
For the following exercises, use reference angles to evaluate the expression.If cos t = −1/3, and t is in quadrant III, find sin t, sec t, csc t, tan t, cot t.
For the following exercises, use side lengths to evaluate.cot π/3
For the following exercises, convert angles in degrees to radians.150°
For the following exercises, use a calculator to find the length of each side to four decimal places.c = 200, ∡ B = 5°
For the following exercises, find the reference angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is not one of the angles on the unit circle, use a
For the following exercises, use reference angles to evaluate the expression.If sin t = 3/4, and t is in quadrant II, find cos t, sec t, csc t, tan t, cot t.
For the following exercises, use side lengths to evaluate.cos π/4
For the following exercises, convert angles in degrees to radians.−315°
For the following exercises, use a calculator to find the length of each side to four decimal places.b = 15, ∡ B = 15°
For the following exercises, find the reference angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is not one of the angles on the unit circle, use a
For the following exercises, use reference angles to evaluate the expression.cot 315°
For the following exercises, find the exact value of the given expression.Which trigonometric functions are odd?
For the following exercises, use a calculator to find the length of each side to four decimal places. A b C 81° 16.5
For the following exercises, convert angles in degrees to radians.180°
For the following exercises, find the reference angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is not one of the angles on the unit circle, use a
For the following exercises, use reference angles to evaluate the expression.csc 210°
For the following exercises, find the exact value of the given expression.Which trigonometric functions are even?
For the following exercises, convert angles in degrees to radians.−120°
For the following exercises, find the reference angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is not one of the angles on the unit circle, use a
For the following exercises, use reference angles to evaluate the expression.sec 120°
For the following exercises, find the exact value of the given expression.If cos(t) = √2/2, find sin(t + 2π).
For the following exercises, convert angles in degrees to radians.−540°
For the following exercises, use a calculator to find the length of each side to four decimal places. B 10 b 65°
For the following exercises, find the reference angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is not one of the angles on the unit circle, use a
For the following exercises, use reference angles to evaluate the expression.tan 330°
For the following exercises, use a calculator to find the length of each side to four decimal places. B b 12 10⁰
For the following exercises, find the exact value of the given expression.If tan(t) = 1/3, find tan(t − π).
For the following exercises, use a calculator to find the length of each side to four decimal places. 7 B b C 35⁰
For the following exercises, convert angles in degrees to radians.100°
For the following exercises, state the reference angle for the given angle.−π/8
For the following exercises, use reference angles to evaluate the expression.cot 240°
For the following exercises, use reference angles to evaluate the given expression.If tan(t) = −0.6, what is the tan(−t)?
For the following exercises, convert angles in degrees to radians.90°
For the following exercises, use a calculator to find the length of each side to four decimal places. 32. A 10 C a 62⁰
For the following exercises, use reference angles to evaluate the expression.csc 150°
For the following exercises, use reference angles to evaluate the given expression.If sec(t) = −2.5, what is the sec(−t)?
For the following exercises, convert angles in radians to degrees.11π/6 radians
For the following exercises, state the reference angle for the given angle.−11π/3
For the following exercises, state the reference angle for the given angle.5π/6
For the following exercises, use to given information to find the length of a circular arc. Round to two decimal places.Find the length of the arc of a circle of radius 12 inches subtended by a
Describe the unit circle.
What do the x- and y-coordinates of the points on the unit circle represent?
Convert −620° to radians.
For the following exercises, draw an angle in standard position with the given measure.2π/3
For the following exercises, find the exact value of each trigonometric function.sin π/4
Find the missing angle: cos (π/6) = sin(_____)
For the following exercises, draw the angle provided in standard position on the Cartesian plane.Compute cosine of 330°.
For the following exercises, state the reference angle for the given angle.−170°
The angle of elevation to the top of a building in Chicago is found to be 9 degrees from the ground at a distance of 2,000 feet from the base of the building. Using this information, find the height
For the following exercises, refer to Figure 25. Round to two decimal places.For the following exercises, refer to Figure 26. Round to two decimal places.Find the area of the sector. 140⁰ Figure
For the following exercises, use Figure 15 to evaluate each trigonometric function of angle A.tan A 10 8 Figure 15 A
For the following exercises, draw the angle provided in standard position on the Cartesian plane.State the range of the sine and cosine functions.
For the following exercises, use reference angles to evaluate the expression.cot 11π/4
For the following exercises, state the reference angle for the given angle.100°
For the following exercises, convert angles in radians to degrees.3π/4 radians
For the following exercises, find the exact value of the given expression.cos π/6
For the following exercises, use Figure 15 to evaluate each trigonometric function of angle A.csc A 10 8 Figure 15 A
For the following exercises, use reference angles to evaluate the expression.tan 8π/3

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