What is the value of sinθ given that (3, −7) is a point on the terminal side of θ ? −758√58 758√58 358√58 −358√58?

Step-by-step explanation

The given point tells us that the terminal side of is in the fourth quadrant.

From the diagram in the attachment,

We can use the Pythagoras Theorem to find the length of the hypotenuse of the right triangle.

Let the hypotenuse be . Then,

Now we use the sine ratio;

.

But since the terminal side of is in the fourth quadrant, the sine ratio must be negative.

This implies that;

.

We rationalize the denominator to get;

.