Question

How do you express the value as a trigonometric function of an angle in Quadrant I given `csc(-330^circ)`?

Answer 1

`color(blue)(csc (30) = 1 / sin 30 = (1 / (1/2)) = 2`

Explanation:

`theta = -330^@` can be written as `-330 + 360 = 30^@`

`30^@` is an angle in the first quadrant where all the trigonometric functions are positive.

`csc (30) = 1 / sin 30 = (1 / (1/2)) = 2` from the table above, `sin 30 = 1/2`

`csc (30) = 1 / sin 30 = (1 / (1/2)) = 2`