Let x=33/65 be the x-coordinate of the point p(x, y), where the terminal side of angle theta (in standard position) meets the unit circle. if p is in quadrant 4, what is sin theta?

The required value of  .

Let , be the x-coordinate of the point P(x, y).

The p is in 4th quadrant.

According to the question.

Terminal Point on the Unit Circle states that the terminal point on the unit circle, start at (1,0), measure the angle in degree or radian on the circle (move counter clockwise if the angle is positive and clockwise if the angle is negative.)

The coordinate of the endpoint is called the terminal point.

General equation of unit circle is,

Substitute in the equation,

Now ,

P lies in the fourth quadrant, you know the sine is negative.

Hence, The required value of  .

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the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

hope this : )