Question

prove (1+tan^2teta) cos^2teta =1​

Answer 1

Answer:

Step-by-step explanation:

L. H. S=(1+tan²theta) cos²theta

We know that,

Sec²theta-tan²theta=1

=>sec²theta=1+tan²theta

So, we have

Sec²theta×cos²theta

=(1/cos²theta) cos²theta

=1

I hope it will help you.

Answer 2

$\huge \boxed{heya \: friend}$

We have an identity:

1+tan²theta=sec²theta

Now,

(1+tan²theta)cos theta

=(sec²theta)cos²theta

Now, sec theta=1/cos theta, so

=(1/cos²theta)cos²theta

=1

Hence proved.