What is sin(x+(5pi)/(12)) ?

The solution to sin(x+(5pi)/(12)) is (sqrt(6)-sqrt(2))/4 sin(x)+(sqrt(6)+sqrt(2))/4 cos(x)

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simplify sin(x+(5pi)/(12))

simplify

sin (x + \frac{5 π}{12})

\frac{6 - 2}{4} sin (x) + \frac{6 + 2}{4} cos (x)

Solution steps

sin (x + \frac{5 π}{12})

Rewrite using trig identities

= \frac{6 - 2}{4} sin (x) + \frac{6 + 2}{4} cos (x)

3 sin (θ - 6 0^{\circ}) - sin (θ)

- 1 - (cos (x - c))^{2}

(sec^{2} (π x) - 1)^{3}

\frac{1}{1 - sin ^{2} ( a )}

cos (πn \cdot 2)

What is sin(x+(5pi)/(12)) ?
The solution to sin(x+(5pi)/(12)) is (sqrt(6)-sqrt(2))/4 sin(x)+(sqrt(6)+sqrt(2))/4 cos(x)