Question

sec a + tan a = cos a/1-sin a

Answer 1

$\huge{\underline{Question}}$

sec a + tan a = cos a/1-sin a

$\huge{\underline{Explanation}}$

L.H.S. =

1+sinA

cosA

+tanA

=

1+sinA

cosA

+

cosA

sinA

=

(1+sinA)cosA

cos

2

A+sinA(1+sinA)

=

(1+sinA)(cosA)

cos

2

A+sinA+sin

2

A

=

(1+sinA)cosA

1+sinA

=

cosA

1

=secA= R.H.S.

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