Verify the identity: sin^2α−cos^2αtan^2α=0

Chaya Galloway

Chaya Galloway

Answered question

2021-02-16

Verify the identity: sin2αcos2αtan2α=0

Answer & Explanation

hesgidiauE

hesgidiauE

Skilled2021-02-17Added 106 answers

Work using the left side. Use the quotient identity: tanα=sinα/cosα

sin2αcos2αtan2α=sin2αcos2α(sin2α/cos2α)

Cancel cos2α

sin2αcos2αtan2α=sin2αsin2αcos2α

Subtract:

sin2αcos2αtan2α=0

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