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Prove(1-cosA)(1+secA)=sinAtanA

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proving trigonometric identities

asked Nov 30, 2013 in TRIGONOMETRY by futai Scholar
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1 Answer

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Recall the trigonometric identities

sin^2A+cos^2A = 1

tanA = sinA/cosA

cosA = 1/secA

Right hand side = sinAtanA

= sinAsinA/cosA

= sin^2A/cosA

= (1-cos^2A)/cosA

= (1-cosA)(1+cosA)/cosA

= (1-cosA)(1+CosA)/cosA

= (1-cosA)(1+1/cosA)

= (1-cosA)(1+secA)

= Left hand side.

answered Nov 30, 2013 by william Mentor

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