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verify the identity.

0 votes

cos(nπ+θ) = (-1)^n cos θ  , n is an integer

asked Jan 22, 2015 in TRIGONOMETRY by anonymous

1 Answer

0 votes

Step 1:

The identity is image

Consider the left hand part  image

Recall the trigonometric identity image

image

image                    (Since image )

image

For even multiples of image cosine function value is 1 and for odd multiples of image cosine function value is -1.

image

image

Solution:

The identity image is verified.                       

answered Jan 22, 2015 by cameron Mentor
edited Jan 22, 2015 by cameron

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