Question

Use trigonometric identities to transform the left side of the equation to the right side

Tan theta cot theta = 1

Answer 1

Tan = sin/cos

Cot = cos/sin

(tan) x (cot) = (sin/cos) x (cos/sin) = 1

Answer 2

`tan\theta=(sin\theta)/(cos\theta)\\\\cot\theta=(cos\theta)/(sin\theta)\\\\tan\theta cot\theta=1\\\\L=(sin\theta)/(cos\theta)*(cos\theta)/(sin\theta)=(sin\theta cos\theta)/(sin\theta cos\theta)=1=R`