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

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

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

simplify

2 + sec (\frac{2 π}{3} + x)

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

Solution steps

2 + sec (\frac{2 π}{3} + x)

Rewrite using trig identities

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

sec (arctan (\frac{1}{x}))

cos (θ + \frac{π}{2}) - sin (θ) - 1

\frac{2}{cos ( 2 s - 3 )} + π

(sin (t + \frac{3 π}{4}))^{2}

(cos (0) - cos (- π)) d x

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