What is 3sin(θ-60)-sin(θ) ?

The solution to 3sin(θ-60)-sin(θ) is 1/2 sin(θ)-(3sqrt(3))/2 cos(θ)

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simplify 3sin(θ-60)-sin(θ)

simplify

3 sin (θ - 6 0^{\circ}) - sin (θ)

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

Solution steps

3 sin (θ - 6 0^{\circ}) - sin (θ)

Rewrite using trig identities

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

Simplify

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

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

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

(sec^{2} (π x) - 1)^{3}

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

cos (πn \cdot 2)

cos (arcsin (2 x))

What is 3sin(θ-60)-sin(θ) ?
The solution to 3sin(θ-60)-sin(θ) is 1/2 sin(θ)-(3sqrt(3))/2 cos(θ)