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prove the following identity (1 Viewer)
- Thread starter bos1234
- Start date
LHS = (sinA/cosA + cosA/sinA -1)(sinA + cosA)
= sin^2 A / cosA + sinAcosA/sinA - sinA + cosAsinA/cosA +cos^2A/sinA - cosA
= sin^2 A / cosA + cosA - sinA + sinA + cos^2 A / sinA - cosA
= sin^2 A / cosA + cos^2 A / sinA
= secA/cosec^2 A + cosec A/sec^2A
= RHS
= sin^2 A / cosA + sinAcosA/sinA - sinA + cosAsinA/cosA +cos^2A/sinA - cosA
= sin^2 A / cosA + cosA - sinA + sinA + cos^2 A / sinA - cosA
= sin^2 A / cosA + cos^2 A / sinA
= secA/cosec^2 A + cosec A/sec^2A
= RHS