Objective Sectio Sample Problem n Express angles in 10.1 1. degrees and a) Convert 240 to radians radians on the b) Find a positive coterminal angle and a negative coterminal angle unit circle c) Graph the angle in the coordinate plane Evaluate the six 10.2 2. a) What is the reference angle for 0 = circular functions: sine, cosine, b) Find the exact value of the six circular functions of 0 = st (r tangent, secant, decimals are allowed) cosecant and cotangent for standard angles using the unit circle Evaluate the six 10.3 3. If cos 0 = = and 0 is in Quadrant IV, find the other five trig circular functions: functions. Give exact answers (no decimals allowed). sine, cosine, tangent, secant, cosecant and cotangent for any angle Use ratio, 10.4 4. Use ratio, reciprocal and/or Pythagorean Identities to prove: reciprocal and a) cos 0 csc 0 = cote Pythagorean b) sin e = cot e Identities sec 8-cos 8 Use sum and 10.4 5. If sin 0 = = with 0 in Quadrant II, find the following difference, a) sin (20) double-angle, half-angle and b) cos () product to sum formulas for trig functions.USE sum and 6. For cosor = g with o: in Quadrant | and sin = E with If in difference, Quadrant lll. Find the following exact values [no decimals allowed]. double-angle, . a) sm (or ,8) and half-angle formulas for trig b} tan( or + '8) functions. Use sum and T. Prove the following identity difference. 1 cos(2o) double-angle, 5m (2a) and half-angle formulas for trig functions. It Graph _ 3. For the function: y = 8 sin (2:: 3 3 trigonometric functions using properties such as amplitude, = tan (a) a) Find amplitude b} Find the period c) Find the vertical shift period. vertical d} Find the phase shift shift and phase e) Graph one period of the functions using appropriate markings on shift the x and vaxis Graph 9. a] Give the equation for the trigonometric function shown in the trigonometric graph functions using properties such as amplitude, period, vertical shift and phase shift b} What is the period of the function c) What is the phase shift? Use inverse 10.6 10. Find the following angles trigonometric functions to find a) sin-1 (-2) angles. b) cos - 1 ( - 42 ) c) sin(cos -1 Solve right- 10.6 11. triangle When I stand 30 feet away from a tree at home, the angle d application problems is 50 and the angle of depression to the base of the tree is tree? Round your answer to the nearest foot. Solve 10.7 12. Find all solutions to the following equations on [0,2n) trigonometric a) 18 sin & cos 0 = 6 sin 0 equations b) 4 cos(2x) = 4 sin2(x) + 3Solve 10.7 13. Solve the following inequalities on [0,2n) trigonometric a) 2 sin 0 26. a) b) r = v13, 0 = 326.3 2 27. 0 = 81.80 28. a) + x b) 1 cly = =x2+7 O 7 80 6 IS cof 40+ 4 12 20 9 1 18 18