How do you use a calculator to evaluate $csc (- 330^{\circ})$ $csc(-330^circ)$ ?

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Answer 1 · 2018-02-20T11:25:15

As explained below:

$- 330^{\circ}$ $-330^@$

a) Without using calculator :
$csc (- 330) = (\frac{1}{sin (- 330)}) = \frac{1}{sin (- 360 + 30)}$ $csc(-330) = (1/sin(-330)) = 1 / (sin(-360+30))$

As sin (-360) = sin(0), it is in the first quadrant where sine is positive.

$\Rightarrow \frac{1}{sin (30)} = 2$ $=> 1/(sin(30) )= 2$

b) Using calculator,
Find the value of $\frac{1}{sin (- 330)}$ $1/sin(-330)$ using degree or

$\frac{1}{sin (\frac{- 330 \cdot 2 π}{360})} = \frac{1}{sin (- \frac{11 π}{6})} = 2$ $1/sin((-330*2pi)/360) = 1/sin(-(11pi)/6) = 2$ using radians

How do you use a calculator to evaluate csc(-330^circ)csc(−330∘)csc(-330^circ)?