Question

Let (-5,-4) be a point on the terminal side of (theta). Find the exact values of cos, csc, and tan.

Answer 1

The exact values of the trigonometric identities cos, csc and tan as required in the task content are; -√41/5, -√41/4 and 4/5 respectively.

What are the exact values of cos, csc and tan as required in the task content?

It follows from above that the terminal side of the angle theta as described is on the point with coordinates (-5, -4).

Hence, the points spans 5 units leftwards and r units downwards on x and y axis respectively.

Hence, the length of the line that describes the angle by Pythagoras theorem is;

h = √((-4)² + (-5)²)

h = √41.

Hence, it follows from trigonometric identities that;

Cos (theta) = -5/√41.

Csc (theta) = -√41/4

Tan (theta) = 4/5

Read more on trigonometric identities;

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