Question

Use trigonometric identities to transform the left side of the equation into the right side (0 < θ < π/2).

sin^2θ − cos^2θ = sin^2θ - (______)
= 2sin^2θ - 1

Answer 1

cos^2θ can be written as 1-sin^2 θ

Answer 2

because cos^2 θ+sin^2 θ = 1

Answer 3

So, \[\sin ^{2}\theta - (1-\sin^{2} \theta) = 2\sin^{2} \theta -1 \]

Answer 4

yes,thats correct :)