An angle that shares the same sine value of an angle that measures 5π/4 radians is located where?

Solution:

Given , sin θ = 5π/4

In a right-angled triangle, the ratio of the perpendicular and the hypotenuse is called the sine function.

In other words, it is the ratio of the side opposite to the angle in consideration and the hypotenuse and its value vary as the angle varies.

We know that

Angle θ measuring 5π/4 terminates in quadrant III.

As the sine value is negative in quadrant III and quadrant IV.

Thus, the sine value of 5π/4 is negative.

Therefore, an angle that shares the same sine value of an angle that measures 5π/4 radians is located in quadrant IV.

An angle that shares the same sine value of an angle that measures 5π/4 radians is located where?

Summary:

An angle that shares the same sine value of an angle that measures 5/4 radians is located in quadrant IV.