Question

Prove the following identities :

sin2θ+cos2θ =1

tan2θ+1=sec2θ

1+cot2θ=cosec2θ​

Answer 1

Step-by-step explanation:

we know that ,

1+tan

2

θ=sec

2

θ

1+cot

2

θ=cosec

2

θ

Now, cos

2

θ(1+tan

2

θ)+sin

2

θ(1+cot

2

θ)=cos

2

θsec

2

θ+sin

2

θcosec

2

θ=1+1=2

Therefore, Answ LP l