Question: If sin= 1/3, /2 < < , and cos= 1/3, < < 3/2, find the exact value of: (a) cosa (d) cos(a

If sinα= 1/3, π/2 < α < π, and cosβ= −1/3, π < β < 3π/2, find the exact value of:

(a) cosa (d) cos(a + 3) (b) sin 3 3 2 (e) sin- (c) cos(2a)

Step by Step Solution

★★★★★

3.45 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To find the exact values we can use the given information and apply trigonometric identities a cos U... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Q:

Find the exact value of each expression. a. b. c. d. -14 sin sin sin(sn(-3) sin sin cos (cos (-45))

Q:

a. Given that 2(sin x + 2 cos x) = sin x + 5 cos x, find the exact value of tan x. b. Given that sin x cos y + 3 cos x sin y = 2 sin x sin y 4 cos x cos y, express tan y in terms of tan x.

Q:

In Exercises 1-4, find the exact value of the expression. 1. sin / 12 cos / 4 + cos / 12 sin / 4 2. cos / 16 cos 3 / 16 - sin / 16 sin 3 / 16 3. cos 130 cos 10 + sin 130 sin 10 4. sin 100 cos...

Q:

PLEASE help me with these problems. I really need help! 6-94. Use the graph shown at right to write possible equations. a. Write an equation that is a transformation of sine. b. Write an equation...

Q:

Can someone help with showing the working out for these questions. 1. Use the fundamental identities to simplify the expression. A. sin x cot(-x) B. cot " - x) cos x 2. Rewrite the expression as a...

Q:

In problem, sin and cos are given. Find the exact value of each of the four remaining trigonometric functions. sin 0 2 cos e 3 3

Q:

If sin 0= 6 -, 0 in quadrant II, find the exact value of (a) cos 0 (b) sin 0+ (c) cos 0- (d) tan |0 + - (a) cos 0 = (Simplify your answer, including any radicals. Use integers or fractions for any...

Q:

Given that cos A = 1/3, and that A is obtuse, a. Find the exact value of: i. cos 2A ii. sin A iii. cosec 2A b. show that tan 24 = 42 7

Q:

In problem, sin and cos are given. Find the exact value of each of the four remaining trigonometric functions. 4 sin 0 5' 5 cos e in

Q:

In problem, sin and cos are given. Find the exact value of each of the four remaining trigonometric functions. V5 sin 0 cos e 5. 5.

Q:

On January 1, Year 1, Porter Inc. purchased 85% of the voting shares of Sloan Ltd. for $3,026,000 in cash. On this date, Sloan had common shares outstanding in the amount of $2,200,000 and retained...

Q:

You have been asked to take part in an upcoming Young Professionals meeting in your area. The program planned for the evening focuses on todays manufacturing environment. Specifically, you have been...