Question

cos^2α/2(1-2cosα)^2+sin^2α/2(1+2cosα)^2=1​

Answer 1

Answer:

We will use this to obtain the sine of a double angle.

If we take the left hand side (LHS):

sin(α + β)

and replace β with α, we get:

sin(α + β) = sin(α + α) = sin 2α

Consider the RHS:

sin α cos β + cos α sin β

Since we replaced β in the LHS with α, we need to do the same on the right side. We do this, and obtain:

sin α cos α + cos α sin α = 2 sin α cos α

Step-by-step explanation:

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