Question

Solve trigonometric function
cot0/tan0

Answer 1

`\\ \rm\Rrightarrow cotA/ tanA`

`\\ \rm\Rrightarrow (cosA)/(sinA)/ (sinA)/(cosA)`

`\\ \rm\Rrightarrow (cosA)/(sinA)* (cosA)/(sinA)`

`\\ \rm\Rrightarrow (cos^2A)/(sin^2A)`

`\\ \rm\Rrightarrow cot^2A`

Note

• theta is taken as A

Answer 2

`(1)/(\tan^2(\theta))}=\cot^2(\theta)`

Explanation:

`\cot(\theta)=(1)/(\tan(\theta))`

`\implies (\cot(\theta))/(\tan(\theta))=(1)/(\tan(\theta))/{\tan(\theta)}}=(1)/(\tan(\theta)) * (1)/(\tan(\theta)) =(1)/(\tan^2(\theta))}=\cot^2(\theta)`