Question

Sin a upon 1 minus Cos A minus 1 minus Cos A upon sin x Cos A upon 1 minus Sin A minus 1 minus sin a upon cos A is equals to 4

Answer 1

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Asked on December 20, 2019 by

Srinivas Paliwal

Prove :

1+cosx−sinx

1+cosx+sinx

=

cosx

1+sinx

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ANSWER

LHS

1+cosx−sinx

1+cosx+sinx

Dividing and multiplying by cosx

secx+1−tanx

secx+1+tanx

secx+1−tanx

secx+tanx+sec

2

x−tan

2

x

secx+1−tanx

secx+tanx+(secx−tanx)(secx+tanx)

secx+1−tanx

secx+tanx(secx−tanx+1)

secx+tanx

cosx

1

+

cosx

sinx

=

cosx

1+sinx

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