Find sin theta if theta is an angle in standard position and the point with coordinates (3, -4) lies on the terminal side of an angle.

Step-by-step explanation:

Given:

Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).

So, the 'x' value is 3 and 'y' value id -4.

Using Pythagoras Theorem, we find the hypotenuse.

Hypotenuse =

Now, using the sine ratio for the angle, we have

Therefore, the value of is .

The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,

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step-by-step explanation: