Question

√[(1+sinx)/(1+sinx)]= 2secx-√[(1-sinx)/(1+sinx)] ​

Answer 1

Answer:

Step-by-step explanation:

Kindly refer to a Proof in the Explanation.

Explanation:

We have,

The L.H.S.=

√

1

+

sin

x

1

−

sin

x

+

√

1

−

sin

x

1

+

sin

x

,

=

√

1

+

sin

x

⋅

√

1

+

sin

x

+

√

1

−

sin

x

⋅

√

1

−

sin

x

√

1

−

sin

x

⋅

√

(

1

+

sin

x

)

=

(

1

+

sin

x

)

+

(

1

−

sin

x

)

√

1

−

sin

2

x

,

=

2

cos

x

,

=

2

sec

x

,

=The R.H.S.

Enjoy Maths.!