What is the value of csc(arcsin((sqrt(3))/2)) ?

The value of csc(arcsin((sqrt(3))/2)) is (2sqrt(3))/3

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csc(arcsin((sqrt(3))/2))

csc (arcsin (\frac{3}{2}))

\frac{2 3}{3}

Decimal Notation

1.15470 \dots

Solution steps

csc (arcsin (\frac{3}{2}))

Rewrite using trig identities:

csc (arcsin (\frac{3}{2})) = \frac{1}{( \frac{3}{2} )}

Use the following identity:

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

= \frac{1}{( \frac{3}{2} )}

= \frac{1}{\frac{3}{2}}

Simplify

= \frac{2 3}{3}

\frac{1}{4} sin (6 0^{\circ})

cos (25 π)

16 (cos (π) + i sin (π))

22 sin (6 5^{\circ}) + 30

cos (1.135)

What is the value of csc(arcsin((sqrt(3))/2)) ?
The value of csc(arcsin((sqrt(3))/2)) is (2sqrt(3))/3