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Prove the following: cosθ + sin (270° + θ) − sin (270° − θ) + cos (180° + θ) = 0 - Mathematics and Statistics

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Question

Prove the following:

cosθ + sin (270° + θ) − sin (270° − θ) + cos (180° + θ) = 0

Sum
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Solution

L.H.S. = cos θ + sin (270° + θ) − sin (270° − θ) +cos (180° + θ)

= cos θ + (− cos θ) − (− cos θ) − cos θ

= cos θ − cos θ + cos θ − cos θ

= 0

= R.H.S.

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Chapter 3: Trigonometry - 2 - Exercise 3.2 [Page 42]

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