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Please see the attachment
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Let theta be a
1 - sin a / 1+ sin a = sec a - tan a
Squaring both sides
1 - sin ^ 2 a / 1 + sin ^ 2 a = 1 / cos ^ 2 a - sin ^ 2 a / cos ^ 2 a
cos ^ 2 a / 1 - sin ^ 2 a = 1 - sin ^ 2 a / cos ^ 2 a
cos ^ 2 a / cos ^ 2 a = cos ^ 2 a / cos ^ a
cos ^ 2 a / cos ^ 2 a = 1
1 = 1
HENCE PROVED
MARK AS BRAINLIST
1 - sin a / 1+ sin a = sec a - tan a
Squaring both sides
1 - sin ^ 2 a / 1 + sin ^ 2 a = 1 / cos ^ 2 a - sin ^ 2 a / cos ^ 2 a
cos ^ 2 a / 1 - sin ^ 2 a = 1 - sin ^ 2 a / cos ^ 2 a
cos ^ 2 a / cos ^ 2 a = cos ^ 2 a / cos ^ a
cos ^ 2 a / cos ^ 2 a = 1
1 = 1
HENCE PROVED
MARK AS BRAINLIST
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