Question

Solve trigonometric function cot0/tan0

Answer 1

$\\ \rm\Rrightarrow cotA\div tanA$

$\\ \rm\Rrightarrow \dfrac{cosA}{sinA}\div \dfrac{sinA}{cosA}$

$\\ \rm\Rrightarrow \dfrac{cosA}{sinA}\times \dfrac{cosA}{sinA}$

$\\ \rm\Rrightarrow \dfrac{cos^2A}{sin^2A}$

$\\ \rm\Rrightarrow cot^2A$

Note

• theta is taken as A

Answer 2

Answer:

$\dfrac{1}{\tan^2(\theta)}}=\cot^2(\theta)$

Step-by-step explanation:

$\cot(\theta)=\dfrac{1}{\tan(\theta)}$

$\implies \dfrac{\cot(\theta)}{\tan(\theta)}=\dfrac{1}{\tan(\theta)}\div{\tan(\theta)}}=\dfrac{1}{\tan(\theta)} \times \dfrac{1}{\tan(\theta)} =\dfrac{1}{\tan^2(\theta)}}=\cot^2(\theta)$