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Trigonometric identity (1 Viewer)

coyazayo

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Hi everyone :)

Q1. Write down an equivalent expression consisting of one term for each of the following

A. (1-tan^2(θ/2))/(1+tan^2(θ/2))

B. (1-cos4θ)/(1+cos4θ)


Q2. Prove that (without using half-angle formula) cos22.5= \frac{\sqrt{2+\sqrt{2}}}{2}

So irritating to write some of these questions down :p
 

Paradoxica

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A: reverse tangent half angle

B: double angle expansion

and for the last one, begin by simplifying (1-cos(2θ))/sin(2θ)

then input an appropriate value of θ
 

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