You are only required to show work for questions 1, 2, 3, 4, and 5 after that you can only put the answers if you want to (no work required)

1. Solve the following Trig Identity: (a) csc(t) = sin(t) + cot(t) cos(t) sec 0 tan d (b) cos d cot d 2. A support wire is anchored 10 meters up from the base of a flagpole, and the wire makes a 25 angle with the ground. How long is the wire, w? Round your answer to two decimal places. 10m 250 3. Find the co-function complimentary angles of the following: (a) sin(57) (b) cos(33)4. What if a restaurant needed to build a wheelchair ramp for its customers? The angle of elevation for a ramp is recommended to be 5. If the vertical distance from the sidewalk to the front door is two feet, what is the horizontal distance that the ramp will take up (x)? How long will the ramp be (y)? Round your answers to the nearest hundredth. y 2ft. 5. If cos 9 = % nd the following: Hint:Use the Pythagorean Theorem. (a) sin 9 (b) tan 9 (c) sec 9 An account with an initial deposit of $6, 500 earns 4.75 % annual interest, compounded continuously. How much will the account be worth after 25 years? Round to the nearest cent. _* Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.76 7 0'21\If sin(t) = - and t is in the 3rd quadrant, find cos(t). PreviewFind the coordinates of the point on a circle with radius 20 corresponding to an angle of 120 . (m,y)=(16 M11 I\") Find the coordinates of the point on a circle with radius 15 corresponding to an angle of (x, y) = ( Preview PreviewA child enters a carousel that takes one minute to revolve once around. The child enters at the point (1, 0). Assume the carousel revolves counter clockwise. What are the coordinates of the child after 1 minutes and 45 seconds? (m,y)=( 9 ) The amount of sunlight in a certain city can be modeled by the function h = 13 cos 700 d ), where h represents hours of sunlight, and d is the day of the year. Use the equation to find how many hours of sunlight there are on February 16 (d = 47). Round to 2 decimal places. hoursUse the cofunctions of complementary angles. cos(55 ) = sin( " )Use the cofunctions of complementary angles. tan . TT = cot Preview 4Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse. 8 COS B = 17 , a = 24 b = c =Find the lengths of the missing sides if side a is opposite angle A, side bis opposite angle B, and side c is the hypotenuse. a=7,4A=60 b = Preview c = Preview Find the lengths of the missing sides if side a is opposite angle A, side 6 is opposite angle B, and side c is the hypotenuse. c=14,1A=45 a, 2 Preview b 2 Preview Use the figure below to evaluate each trigonometric function of angle A. A 4 10 sin (A) = Preview COs(A) = Preview tan (A) = Preview cot (A) = Preview sec ( A) = Preview CSC ( A) = Preview\fUse a calculator to find the length of each side to four decimal places. B 11 a 110 a = b =