Question

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Answer 1

Step-by-step explanation:

given :

• 1-sin0/1+sin0

to find:

• 1-sin0/1+sin0

solution :

• L.H.S. = `sqrt(((1 - sin 0) (1 - sin 0))/((1 +

• sin 0) (1 - sin 0)))`

• = `sqrt((1 + sin^20 - 2sine)/(1 - sin^20)`

• = `sqrt((1 + sin^20 - 2sine)/(cos^20)`

• = sqrt(1/cos^20 + sin^20/cos^28 -

• (2sin 0)/cos 0 xx 1/cose`

• = `sqrt( sec^20 + tan^2 0 - 2 tan 0. sec

• = `sqrt((sec 0 - tan 8)^2)`

• = sec 0 tan 0

• = R.H.S.

• Hence proved.