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How do you express sin x + cos x in terms of sine only?

User Tadeo
by
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1 Answer

6 votes

Answer:


\sin x + √(1-\sin^2x)

Explanation:

Given: sin x + cos x

To change the given trigonometry expression in term of sine only.

Trigonometry identity:-


  • \sin^2x+\cos^2x=1

  • \cos x=√(1-\sin^2x)

Expression:
\sin x+\cos x

We get rid of cos x from expression and write as sine form.

Expression:
\sin x + √(1-\sin^2x)
\because \cos x=√(1-\sin^2x)

Hence, The final expression is only sine function.

User Johanv
by
7.9k points

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