Question

tan teta ×cot teta=sec teta × x then x​

Answer 1

Answer:

$x = \cos(teta)$

Step-by-step explanation:

LHS

$= \tan(teta) \times \cot(teta) \: \\ = \tan(teta) \times \frac{1}{ \tan(teta) } \: \\ = \: \: 1$

Hence RHS = 1

$= \sec(teta) \times \ \cos(teta) \: \\ = \sec(teta) \times \frac{1}{ \sec(teta) } \: \\ = 1$

Rule:

$\cot(teta) = \frac{1}{ \tan(teta) } \\ \\ \cos(teta) = \frac{1}{ \sec(teta) }$