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Trigonometry Have Fun! 1) Convert 5 to degrees. 2 2) Convert 240 to radians 3) An angle is formed by moving the terminal side clockwise into the first quadrant. The y-value of the terminal point is ½. What is the angle that has been formed in radians? 4) Give the exact value (do not give decimal approximations) of the tan 60 and the sec 60 . 5) Evaluate the expressions by using a calculator of tan and sec . 7 7 6) Determine whether the following is true or false: If sin = 0.254, then csc = 2.581. 7) The builder of a parking garage wants to build a ramp at an angle of 17 degrees that covers a horizontal span of 50 feet. How long will the actual ramp be? 8) What quadrant must be in if sin( ) 0 and tan( ) 0 9) What is the reference angle for 570 ? 10) Determine the amplitude, period, and phase shift of: 5 y sin( x) 3 If there is no phase shift, state “no phase shift”. If there is a phase shift, state the direction of the phase shift and the number of units (as a positive number) the graph is shifted. 11) Determine the amplitude, period, and phase shift of: 2 y cos(9x) 3 If there is no phase shift, state “no phase shift”. If there is a phase shift, state the direction of the phase shift and the number of units (as a positive number) the graph is shifted. 12) Jennifer is watching a satellite launch from an observation spot 2 miles away. Find the angle of elevation from Jennifer to the satellite, which is at a height of 1.1 miles. Write your answer in degrees. 13) Show that tan 2 x tan 2 xsin 2 x sin 2 x 14) Find the exact value (decimal answers are not accepted) of cos 13 . 12 15) Determine the exact value (decimal answers are not accepted) of sin 17 . 6 16) Solve for x. Indicate all possible solutions. Use the variable n to represent any integer multiple of the function’s period. Write your answer in exact radians. 2 tan 2 x 6 0 17) Prove that tan( ) tan 18) The complicated trigonometric expression shown below is equivalent to either sin x, cos x, or tan x . Which one is it? Prove it. 3 sin( x 30 ) cos( x 30 ) 4 cos x sin( x 30 ) 4 sin x cos( x 30 )