Question

Prove that : √1+sin thita/1-sin thita+√(1-sin thita)/(1+sin thita)​

Answer 1

Step-by-step explanation:

LHS =left hand side, RHS =right hand side

LHS

=

1

1

+

sin

θ

+

1

1

−

sin

θ

=

1

−

sin

θ

+

1

+

sin

θ

(

1

+

sin

θ

)

(

1

−

sin

θ

)

->Common Denominator

=

1

−

sin

θ

+

1

+

sin

θ

(

1

+

sin

θ

)

(

1

−

sin

θ

)

=

2

1

−

sin

2

x

=

2

cos

2

x

=

2

⋅

1

cos

2

x

=

2

sec

2

x

=

R

H

S

Answer link