How do you find the exact value for $csc(sin^-1 (sqrt 3/2))$ ?

Question

3930 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-12T23:49:53

$csc(sin^-1(sqrt3/2))=2/sqrt3=(2sqrt3)/3$

because $sin^-1(sqrt3/2)=pi/3$ ,the angle $=60^@$

therefore $csc (pi/3)=csc(60^@)=2/sqrt3=(2sqrt3)/3$

God bless America....

How do you find the exact value for csc(sin^-1 (sqrt 3/2))csc(sin^-1 (sqrt 3/2))?