Question

(sec-tan)^2=(1-sin/1+sin)
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Answer 1

Answer:

( seca - tana )² = ( 1 - sina / 1 + sina )

Step-by-step explanation:

Given: ( seca - tana )² = ( 1 - sina / 1 + sina )

It can be written as

( seca - tana ) = √ ( 1 - sina / 1 + sina )

Taking R.H.S.

√ ( 1 - sina / 1 + sina )

√ ( 1 - sina ) × ( 1 - sin a ) / (1 + sin ) ( 1 - sin a )

√ (1 - Sina)² / ( 1- sin²a)

√ ( 1 - sin a) ² / cos ² a

1 - sin a / cos²a

1/ cosa - sina / cosa

sec a - tan a proved

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