Trigonometric Identities Question 363

Question: $ \cot (45{}^\circ +\theta )\cot (45{}^\circ -\theta )= $

[MNR 1973]

Options:

A) -1

B) 0

C) 1

D)

Show Answer

Answer:

Correct Answer: C

Solution:

$ \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 $ .