Prove that cot^2 theta -1/sin^2 theta is equals to -1
Answers
Answered by
2
Take note:Φ is theta
>Cot²Φ-(1/sin²Φ)
>Cot²Φ=1/tan²Φ
>But tan²Φ=sin²Φ/cos²Φ
>Cot²Φ=cos²Φ/sin²Φ
>(cos²Φ/sin²Φ)-(1/sin²Φ)
>Finding the LCM(cos²Φ-1)/(sin²Φ)
>From cos²Φ+sin²Φ=1
>cos²Φ-1=-sin²Φ
>Therefore, -sin²Φ/sin²Φ=-1
Similar questions