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

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

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

simplify

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

2 cos (x) - 3 sin (x)

Solution steps

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

Rewrite using trig identities

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

Simplify

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

= 2 cos (x) - 3 sin (x)

sin (2 x - π)

sec (arccsc (\frac{x}{4}))

\frac{e ^{x}}{sin ( x )}

sin (t - 2 π)

sec (arcsin (u))

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