Question

(i) (1 + tan^2theta) (1 + sin^2theta) (1 - sin^2 theta) = 1​

Answer 1

Step-by-step explanation:

this question is having error.

it's (1+sin theta)(1-sintheta)

after than the proof will be 1

using identities

1+ tan^2 theta = sec^2 thetha

sin^2theta + cos^2=1

and sectheta = 1/cos theta

now,

using identites,

= sec^2thetha (1+sin theta)(1-sin theta)

= sec^2 theta (1 - sin^2 theta)

by identites,

= sec^2thetha * cos^2 theta (using relation)

= 1