Question

If the tangent of an angle is negative and its secant is positive in which quadrant does the angle terminate

Answer 1

Cos , and its reciprocals are + and remaining trigonometric ratios are - in 4th quadrant. So the angle terminates in 4th quadrant.

Answer 2

Given :

The tangent of an angle is negative and its secant is positive.

To find :

In which quadrant does the angle terminate?

Solution :

All functions are positive in the first quadrant.

Only Sine and Cosecant functions are positive in the second quadrant.

Only tangent and Cotangent functions are positive in the third quadrant.

Only Cosine and Secant functions are positive in the fourth quadrant.

Secant is reciprocal of cosine and positive in the fourth quadrant,

Hence the angle will terminate in the fourth quadrant.