Question

Find the indicated trigonometric value in the specified quadrant.

Function                                    Quadrant                      Trigonometric value

tan θ = 3/2                                    III                                       sec θ

Answer 1

Step 1:

The trigonometric function is , where lies in quadrant III.

Definition of trigonometric function .

Opposite side = 3 and adjacent side = 2.

Pythagorean theorem:

For right angled triangle, square of Hypotenuse is equal to sum of squares of other two sides.  

.

Substitute opposite side = 3 and adjacent side = 2 in above expression.

.

As lies in quadrant III, the value of secant function is negative.

Solutions :

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