What is 4cos(x)-2sin(30+x) ?

The solution to 4cos(x)-2sin(30+x) is 3cos(x)-sqrt(3)sin(x)

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simplify 4cos(x)-2sin(30+x)

simplify

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

3 cos (x) - 3 sin (x)

Solution steps

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

Rewrite using trig identities

= 4 cos (x) - 2 (\frac{1}{2} cos (x) + \frac{3}{2} sin (x))

Simplify

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

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

cos (θ + \frac{π}{4})

tan (arccot (x))

cos (27 0^{\circ} + θ)

sin (arcsec (\frac{x}{8}))

cos (- x) + tan (- x) sin (- x)

What is 4cos(x)-2sin(30+x) ?
The solution to 4cos(x)-2sin(30+x) is 3cos(x)-sqrt(3)sin(x)