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5 votes
Which of the following is csc(-166°) equal to?

csc⁡(14°)
-csc⁡(14°)
-csc⁡(-14°)
csc⁡(166°)

User Theodor
by
5.2k points

1 Answer

6 votes

Answer:

-csc⁡(14°)

Explanation:

The given trigonometric expression is csc(-166°)

-166° is in the third quadrant.

It makes an angle of 14° with the x-axis.

Hence the principal angle for -166° is 14°

In the third quadrant the cosecant function is negative.

This implies that;

csc(-166°) =-csc(14°)

The correct choice is the second option.

User Berzinsu
by
4.9k points
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