SOLUTION: Rewrite sin(x+π/4) in terms of sin(x) and cos(x)

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Question 1132597: Rewrite sin(x+π/4) in terms of sin(x) and cos(x)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Rewrite sin%28x%2Bpi%2F4%29 in terms of sin%28x%29 and cos%28x%29:
sin%28x%2Bpi%2F4%29

= sin%28x%29+cos%28pi%2F4%29+%2B+cos%28x%29+sin%28pi%2F4%29

= sin%28x%29+%281%2Fsqrt%282%29%29+%2B+cos%28x%29%281%2Fsqrt%282%29%29

=sin%28x%29%2Fsqrt%282%29+%2B+cos%28x%29%2Fsqrt%282%29

=%28sin%28x%29%2B+cos%28x%29%29%2Fsqrt%282%29