08.05 The Pythagorean Identity Questions 1-10 of 10 | Page 1 of 1 Question 1 (5 points) For which angles is the cosine positive? Select all that apply. 0 radians Ob 5m/12 radians 5n/6 radians 3n/4 radians 5n/3 radians Question 2 (5 points) The measure of angle Ois between 0 and 2n radians. Which statements must be true of sin(O) and cos(")? Select all that apply. O a cos (@) + sin-(6) = 1 O b If sin(6) = 0, then cos(0) = 1 O c If sin(@) = 1, then (0) =0 O d cos(0) + sin(0) = 1 De The point (cos(0), sin(0)) lies on the unit circle. Question 3 (5 points) For which angle measres, O, between 0 and 2n radians is cos(0) = 0. BIUS'S InQuestion 4 (5 points) If cos(0) = 0.6, what are the coordinates of P? Explain your reasoning- Y P BIUS'S, Question 5 (5 points) Is the point (-0.5, sin4n/3)) on the unit circle? Explain your reasoning. BIUS'S,Question 6 (5 points) Triangle ABC is an isosceles right triangle in the unit circle. Explain why sin(A) = cos(A). B IVE S'S A Question 7 (5 points) Use the Pythagorean Theorem to explain why 2(sin(A)]= = 1. A B IVE S'ST nQuestion 8 [5 paims} Write the Ex, 3;] coordinates for P in terms [famine and sine. Question 9 [5 pains} Is the point (-0.5, sininal'n on the unit circle? Explain your reasoning Question 10 (5 points) The pictures show points on a unit circle labeled A, B, C, and D. Which point is (cos(n/3 0, sin(n/3))? O a O b OC O d Y D