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# further trigonometric identities and their applications watch

1. root 2 cos(x-pi/4)+(root 3-1)sinx=2
How to simplify this equation to a sine/cosine only function?
I'm stuck because the angles of cosine and sine are not the same in the question.
2. (Original post by ssserena)
root 2 cos(x-pi/4)+(root 3-1)sinx=2
How to simplify this equation to a sine/cosine only function?
I'm stuck because the angles of cosine and sine are not the same in the question.
Have you heard of the compound angle formulae?
Perhaps use it in the cos(x- pi/4).
You then use the harmonic form to simplify.
And then solve.

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