What is sqrt(1/(sin^2(x))) ?

The solution to sqrt(1/(sin^2(x))) is csc(x)

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simplify sqrt(1/(sin^2(x)))

simplify

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

csc (x)

Solution steps

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

Apply radical rule:

assuming

a \geq 0, b \geq 0

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

Apply radical rule:

assuming

a \geq 0

sin^{2} (x) = sin (x)

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

Apply rule

1 = 1

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

Rewrite using trig identities

= csc (x)

tan (θ - \frac{π}{2})

tan (- 2 x)

cos (arcsin (14 x))

- 2 cos (x + \frac{π}{4})

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