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Because the two angles are equal you can replace β with α so cos α β cosα cosβ sin sinβ becomes To get the second version use the first Pythagorean identity sin 2 cos 2 1. Sin2θ 2sinθcosθ cos2θ cos2θ sin2θ 1 2sin2θ 2cos2θ 1 tan2θ 2tanθ 1 tan2θ How To Given the tangent of an angle and the quadrant in which it is located use the double-angle formulas to find the exact value. Double Angle Formulas Using Cosine Double Angle Identity Video Khan Academy Cos 2theta 2 cos2 theta-1 1 - 2 sin2 theta 119169. . Cos2x 2cos2x 1 use substitution θ 2x 1 cosx 2cos2 x 21 1 1 cosx 2 2 cos2x 2 2 1 cosx 2 cos2 x 2 cos x 2 1 cosx 2 Answer link. Therefore the answer is b. 2 θ cos 2 θ sin 2 θ. 2 θ 2 tan. Using the Pythagorean properties we can expand this double-angle formula for cosine and get two more interpretations. X sin θ sin 2 θ 2 sin θ 2 sin θ cos θ 2 4 cos 2 θ. 2 θ. You can still ask an expert for help. This gives tan 2t...

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