Question

prove that for any acute angle theta cos x squared theta + sin squared theta is equal to 1​

Answer 1

$sin ^{2} x + cos ^{2} x = 1$

Step-by-step explanation:

In any right angled triangle, we know that

sinx=opposite side/hypotenuse

cosx=adjacent side/hypotenuse

Now, sin²x+cos²x=(opp²+adj²)/hypo²

By pythogoras theorem, we know that

opp²+adj²=hypo²

→sin²x+cos²x=hypo²/hypo²=1

Hence proved.