Explained: "Verify the identity: sin2⁡α−cos2⁡αtan2⁡α=0"

Chaya Galloway

Answered question

2021-02-16

Verify the identity: $\sin^{2} α - \cos^{2} α \tan^{2} α = 0$

hesgidiauE

Skilled2021-02-17Added 106 answers

Work using the left side. Use the quotient identity: $\tan α = \sin α / \cos α$

$\sin^{2} α - \cos^{2} α \tan^{2} α = \sin^{2} α - \cos^{2} α (\sin^{2} α / \cos^{2} α)$

Cancel $c o s^{2} α$

$\sin^{2} α - \cos^{2} α \tan^{2} α = \sin^{2} α - \sin^{2} α - \cos^{2} α$

Subtract:

$\sin^{2} α - \cos^{2} α \tan^{2} α = 0$

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?