Trigonometric Identities Question 212

Question: $ \cos A+\sin (270{}^\circ +A)-\sin (270{}^\circ -A)+\cos (180{}^\circ +A)= $

[MP PET 1990]

Options:

A) -1

B) 0

C) 1

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ \cos A+\sin (270{}^\circ +A)-\sin (270{}^\circ -A)+\cos (180{}^\circ +A) $ = $ \cos A-\cos A+\cos A-\cos A=0 $ .