Question

find the values of trigonometric function of cot (-15pi/4)​

Answer 1

To Find: Value of ; $\cot( - \frac{15\pi}{4} )$

.

★Solution★

$⇒ \cot( - (3\pi + \frac{3\pi}{4} ))$

$⇒ - \cot( \frac{3\pi}{4} )$

.

As, π radians = 180°

$⇒ \cot( \frac{3\pi}{4} ) = - \cot(135°)$

$o r \: \: - \cot(90° + 45°)$

$⇒ + \tan(45°)$

.

[∵ tan 45°=1]

.

$⇒ \cot( - \frac{15\pi}{4} ) = 1$