Question

Prove that Cos²theeta +tan²theeta =1

Answer 1

Answer:

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Step-by-step explanation:

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 ✪✪