please solve the following trig functions ....................................

24 Trigonometry 10: Solving Trig Equations 24.1 A Simple Equation The following questions concern the equation Zsin(f)+1=10 1. Start by rearranging the equation to isolate the trig function: sin(f) = 2. Indicate the two angles on the unit circle below that have the sine value in #1. Fill in the coordinates of each point. 3. Suppose we are locking for solutions that lie in the interval [0, 2r). Then our solutions would be #=_____ and #= 4. Suppose instead that we are looking for solutions in the interval (11'_.:'1'] . Then our solutions would be ="' and f#= 5. Now, suppose we are looking for solutions in the interval [g, 321) Then our solutions would be B=__ and /= 6. Regardless of the interval, any solution to this equation must be _ to one of the angles drawn in #2, so any solution must be different from oneofthese by a of Hint: Refer to 11 on page 126. 7. Use the observation in #6 to write a formula to express all solutions to the equation. #=__ +_ -k and #=__ 4+ .k, where k represents any integer! ""I'he integers are the set of positive and negative whaole numbers, including zero: {....-2,-10,1,2 .} 24.2 A Squared Function The following questions concern the equation 2tan'(@) +1=7 8. Start by rearranging the equation to isolate the trig function: tan(#) = 9. Square root both sides of the equation: tan(#) = Hint: Don't forget the plus or minus! 10. Indicate all angles on the unit circle below that satisfy the equation in #9. Fill in the coordinates of each point. . 11. List all solutions that lie in the interval [0, 2). 12. List all solutions that lie in the interval (E I] : 2'2 13. List all solutions that lie in the interval [7, 37). 14. Write a formula to express all solutions. 198