Question

cos²theeta(1+tan²theeta)=1

Answer 1

hello users...

we have to prove
cos² θ(1+ tan² θ) = 1

solution:-
formula used :
(1+ tan² θ) = sec² θ
&
sec θ =1/ cos θ

now;
solving this question
at first Taking LHS

= cos² θ(1+ tan² θ) = cos² θ× sec² θ
= cos² θ × 1/ cos² θ = 1

hence ;
cos² θ(1+ tan² θ) = 1
proved

✪✪ Hope it helps ✪✪