Question

Prove that sin² theta +( 1 / 1+ tan² theta ) =1​

Answer 1

Answer:

To prove :-

sin² θ + { 1 / ( 1 + tan² θ ) } = 1

Salutation :-

L.H.S = sin² θ + { 1 / ( 1 + tan² θ ) }

= sin² θ + { 1 / sec² θ }

[ • As we know , sec² θ - tan² = 1 , So sec² θ = 1 + tan² θ ]

= sin² θ + cos² θ

[ • We know , cos θ = 1 / sec θ , so 1 / sec² θ = cos² θ ]

= 1

[ • We know the value of sin² θ + cos² θ is 1 ]

And R.H.S = 1

So , L.H.S = R.H.S [ • Hence Proved ]

Answer 2

Answer:

Step-by-step explanation: