(45^ + ) (45^ - ) = - Vidyadip

MCQ

$\cot (45^\circ + \theta )\cot (45^\circ - \theta ) = $

A
$-1$
B
$0$
✓
$1$
D
$\infty $

✓

Answer

Correct option: C.

$1$

c
(c) $\cot (45^\circ + \theta )\cot (45^\circ - \theta ) $

$= \tan (90^\circ - 45^\circ - \theta )\cot (45^\circ - \theta )$

$ = \tan (45^\circ - \theta )\cot (45^\circ - \theta ) = 1$.

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