What is csc(arcsin(1/3)+2pin) ?

The solution to csc(arcsin(1/3)+2pin) is 1/(1/3 cos(2pin)+(2sqrt(2))/3 sin(2pin))

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simplify csc(arcsin(1/3)+2pin)

simplify

csc (arcsin (\frac{1}{3}) + 2 πn)

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

Solution steps

csc (arcsin (\frac{1}{3}) + 2 πn)

Rewrite using trig identities

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

5 sin (2 x - \frac{π}{4}) + cos (2 x)

sin (18 0^{0} - β)

- cos (4 (\frac{π}{2}) + x)

sin^{2} (2 π x) + cos^{2} (2 π x)

\frac{2 d x}{sin ( x cos ( x ) )}

What is csc(arcsin(1/3)+2pin) ?
The solution to csc(arcsin(1/3)+2pin) is 1/(1/3 cos(2pin)+(2sqrt(2))/3 sin(2pin))