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

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simplify tan(30-θ)

Solution

simplify

tan (3 0^{\circ} - θ)

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

Solution steps

tan (3 0^{\circ} - θ)

Rewrite using trig identities

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

cos (arcsin (X))

sin (x - \frac{π}{6}) + 1

cos (x + \frac{5 π}{6})

sin (- α)

y - 2 sin (3 x - \frac{π}{2})

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