What is 15sec(x-pi/6) ?

The solution to 15sec(x-pi/6) is (15}{\frac{sqrt(3))/2 cos(x)+1/2 sin(x)}

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simplify 15sec(x-pi/6)

simplify

15 sec (x - \frac{π}{6})

\frac{15}{\frac{3}{2} cos ( x ) + \frac{1}{2} sin ( x )}

Solution steps

15 sec (x - \frac{π}{6})

Rewrite using trig identities

= 15 \cdot \frac{1}{\frac{3}{2} cos ( x ) + \frac{1}{2} sin ( x )}

Simplify

15 \cdot \frac{1}{\frac{3}{2} cos ( x ) + \frac{1}{2} sin ( x )} : \frac{15}{\frac{3}{2} cos ( x ) + \frac{1}{2} sin ( x )}

= \frac{15}{\frac{3}{2} cos ( x ) + \frac{1}{2} sin ( x )}

cos (\frac{π}{2} + y)

sin (x + π) cos (3 π - x)

sec (- x) - sin (- x) tan (- x)

0.02 sin (10 π t - \frac{π}{2})

sec (arcsin (2 x))

What is 15sec(x-pi/6) ?
The solution to 15sec(x-pi/6) is (15}{\frac{sqrt(3))/2 cos(x)+1/2 sin(x)}