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

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

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

simplify

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

3 cos (x) - 2 sin (x)

Solution steps

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

Rewrite using trig identities

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

Simplify

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

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

(2 sec (x))^{2} - 4

\frac{d y}{cot ( y )}

sec (π + x)

(- cos (- \frac{π}{4} + x))^{2}

cos (\frac{x}{- 3})

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