1) Determine which quadrant the given value lies: sin𝜃=-12/13 and 180°<𝜃<270° a) Quadrant Ⅰ b) Quadrant Ⅱ c) Quadrant Ⅲ d) Quadrant Ⅳ e) Quadrant Ⅴ f) Quadrant Ⅵ 2) If sin𝜃=8/17 and 0º < 𝜃 <90º what are the values of cos𝜃 and tan𝜃? a) cos𝜃 = 15/17, tan𝜃 = 8/15 b) cos𝜃 = 17/15, tan𝜃 = 15/8 c) cos𝜃 = 8/15, tan𝜃 = 16/17 d) cos𝜃 = 14/17, tan𝜃 = 9/15 e) cos𝜃 = 15/17, tan𝜃 = 6/15 f) cos𝜃 = 11/17, tan𝜃 = 8/15 3) Determine if the value is >, <, + or - number or a radical (fraction): 2sin(π/2) cos (π) a) 2 b) 1/2 c) 1 d) -1 e) 4 f) -2  4) If sin 𝜃 = 8/17 and 0º< 𝜃 <90º, and sin 2𝜃 = 240/289, what are the values of cos 2𝜃 and tan 2𝜃? a) cos 2𝜃 = 289/161, tan 2𝜃 = 240/161 b) cos 2𝜃 = 161/289, tan 2𝜃 = 161/240 c) cos 2𝜃 = 240/161, tan 2𝜃 = 161/289 d) cos 2𝜃 = 165/290, tan 2𝜃 = 244/165 e) cos 2𝜃 = 290/165, tan 2𝜃 = 165/244 f) cos 2𝜃 = 161/289, tan 2𝜃 = 240/161 5) what is the equivalent of cos^2(θ) - sin^2(θ) a) cosθ b) sin^2θ c) cos(2θ) d) sin^2(2θ) e) 2cosθ f) cos(θ/2)

Test your Double and Half-Angle Identity Knowledge!

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