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

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simplify tan(a+30)

Solution

simplify

tan (a + 3 0^{\circ})

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

Solution steps

tan (a + 3 0^{\circ})

Rewrite using trig identities

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

cos (90 0^{\circ} - x)

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

tan (x + 5 π)

sin (x) + sin (π - x)

sin (6 0^{\circ} + x)

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