## Question

###### 1. Verify the following identity. + 2 sec? x 1-sin x l+sin x

1. Verify the following identity. + 2 sec? x 1-sin x l+sin x

## Answers

Solving Left Hand Side 1 1-sinx + 1 1tsing It sinx + 1-sinx (1-5 ime) (1+Sint) 2 LLLLLLLL 1 + sinx -Sinh - Sinºx 12 sine 2 1-sinay Using identity cos²x = 1-sinza sinx tcas? x =) 2 CERE cos2x We know that t = Sec?x cos²x 2 Sec2x Since L.H.S= R.H.S Hence I tt = 2 sec²x. 1-sinx Itsinx

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