Question

How do I find the value of csc330?

Answer 1

`csc330^@=-2`

Explanation:

`"using the "color(blue)"trigonometric identity"`

`•color(white)(x)cscx=1/sinx`

`rArrcsc330^@=1/sin330^@`

`sin330^@=-sin(360-330)^@=-sin30^@=-1/2`

`rArrcsc330^@=1/(-1/2)=-2`

Answer 2

`=> -2`

Explanation:

`csc 330 = 1 / sin 330 = 1 / sin ((7pi) / 4) = 1/ (-1/2) = -2`

As only cos and sec +ve in IV Quadrant.

Aliter :

`csc 330 = csc (360 - 330) = -csc 30 = 1/ -sin 30 = -2`