What is sin(x-30)-sin(2x) ?

The solution to sin(x-30)-sin(2x) is (sqrt(3))/2 sin(x)-1/2 cos(x)-sin(2x)

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simplify sin(x-30)-sin(2x)

simplify

sin (x - 3 0^{\circ}) - sin (2 x)

\frac{3}{2} sin (x) - \frac{1}{2} cos (x) - sin (2 x)

Solution steps

sin (x - 3 0^{\circ}) - sin (2 x)

Rewrite using trig identities

= \frac{3}{2} sin (x) - \frac{1}{2} cos (x) - sin (2 x)

[cos (2 t - \frac{π}{3})]^{2}

1 + sec (27 0^{\circ} - x)

sin (θ - \frac{3 π}{2})

(4 - 4 sin^{2} (x))^{\frac{3}{2}}

a r csc (- 1)

What is sin(x-30)-sin(2x) ?
The solution to sin(x-30)-sin(2x) is (sqrt(3))/2 sin(x)-1/2 cos(x)-sin(2x)