What is 6csc(pi/3 x+pi) ?

The solution to 6csc(pi/3 x+pi) is -6csc((pix)/3)

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simplify 6csc(pi/3 x+pi)

simplify

6 csc (\frac{π}{3} x + π)

- 6 csc (\frac{π x}{3})

Solution steps

6 csc (\frac{π}{3} x + π)

Rewrite using trig identities

= 6 (- \frac{1}{sin ( \frac{π x}{3} )})

Simplify

6 (- \frac{1}{sin ( \frac{π x}{3} )}) : - \frac{6}{sin ( \frac{π x}{3} )}

= - \frac{6}{sin ( \frac{π x}{3} )}

Use the basic trigonometric identity:

\frac{1}{sin ( x )} = csc (x)

= - 6 csc (\frac{π x}{3})

cos^{2} (nπ)

tan (x + \frac{π}{6})

ln (csc (- cot (x)))

cos (\frac{π}{2} - t)