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 $ .