The solution to tan(30-x) is (1/2 cos(x)-(sqrt(3))/2 sin(x))/((sqrt(3))/2 cos(x)+1/2 sin(x))

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simplify tan(30-x)

Solution

simplify

tan (3 0^{\circ} - x)

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

Solution steps

tan (3 0^{\circ} - x)

Rewrite using trig identities

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

tan (- 3 x^{5})

csc (180 0^{\circ} - α)

sin (x) sin (18 0^{\circ} - x)

x ln (cos (\frac{π}{2} - x))

2 cos^{2} (36 0^{\circ} + A)

What is tan(30-x) ?
The solution to tan(30-x) is (1/2 cos(x)-(sqrt(3))/2 sin(x))/((sqrt(3))/2 cos(x)+1/2 sin(x))