What is sec(x-(2pi)/3) ?

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

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simplify sec(x-(2pi)/3)

simplify

sec (x - \frac{2 π}{3})

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

Solution steps

sec (x - \frac{2 π}{3})

Rewrite using trig identities

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

(1 - sin^{2} (x))^{\frac{1}{2}}

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

cos (n \cdot π + π)

sin (2 x - \frac{π}{6})

tan (θ - 18 0^{\circ})

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