Trigonometric Identities Question 155

Question: The value of $ \cos (270{}^\circ +\theta ),\cos (90{}^\circ -\theta )-\sin (270{}^\circ -\theta ),\cos \theta $ is

[Karnataka CET 2005]

Options:

A) 0

B) -1

C) 1/2

D) 1

Show Answer

Answer:

Correct Answer: D

Solution:

$ \cos (270+\theta )\cos (90-\theta )-\sin (270-\theta )\cos \theta $ $ =\sin \theta .\sin \theta +\cos \theta .\cos \theta =1 $ .