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

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

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

simplify

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

3 cos (x) sin (x) + cos^{2} (x)

Solution steps

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

Rewrite using trig identities

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

Simplify

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

= 3 cos (x) sin (x) + cos^{2} (x)

sin (arcsin (\frac{x}{80}))

\frac{sin ( - 12 x )}{cos ( 6 x )}

\frac{d x}{sin ( \frac{x}{2} )}

2 (1 + sec^{2} (\frac{π}{2} - θ))

cos (\frac{3}{9 t} - 7) + 3

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