Rewrite in terms of sin (x) and cos (x).

sin (x+[7pi/4])

Question

Mathematics

Carlo Wilcox

25 October, 16:17

Rewrite in terms of sin (x) and cos (x).

sin (x+[7pi/4])

+2

Answers (1)

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Zion Hebert · Answer 1

using the addition formulae for sin

• sin (x + y) = sinxcosy + cosxsiny

sin (x + (7π/4))

= sinx cos (7π/4) + cosxsin (7π/4)

[ the related acute angle for 7π/4 is π/4 ]

= sinxcos (π/4) + cosx ( - sin (π/4)

= sinx * √2 / 2 - cosx * √2 / 2

= √2 / 2 (sinx - cosx)

Rewrite in terms of sin (x) and cos (x).sin (x+[7pi/4])

Rewrite in terms of sin (x) and cos (x).

sin (x+[7pi/4])