How do you find the value of $csc (sin (2/3))$ ?

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Answer 1 · 2015-06-11T03:35:31

Find the value of csc (arcsin (2/3))

$sin x = 2/3$ --> x ?

$sin x = 2/3 = 0.67$ --> $x = 41.81$ and x = 180 - 41.81 = $138.19$

a. $csc (41.81) = 1/sin (41.81)$ = $1/0.67 = 1.49$ (Quadrant I)

b. $csc (138.19) = csc (-41.81) = 1/sin (-41.81)$ =

$= 1/-0.67$ = -1.49 (Quadrant II)

How do you find the value of csc (sin (2/3))csc (sin (2/3))?