What is 2sin(x+30)+3cos(x) ?

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

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simplify 2sin(x+30)+3cos(x)

simplify

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

3 sin (x) + 4 cos (x)

Solution steps

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

Rewrite using trig identities

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

Simplify

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

= 3 sin (x) + 4 cos (x)

sin (\frac{- 7 x}{6})

sec^{2} (\frac{π}{2} + x)

cos (\frac{- 7 n}{6})

\frac{7 - sec ( x )}{tan ( x )} d x

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

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