Question 1122398: Determine the exact values of the six trigonometric functions if the point (10, -8) lies on the terminal side of ϴ. Rationalize your answers, if applicable.
I assume I will have to do something with the formula  . If this formula is the correct formula I need to implement the x and y values into, then I would like to know what the formula is called, if it has a name. Thanks
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! If base point (0,0) and terminal point (10,-8), this goes to quadrant #4.
Simplify this.
Simplify this, too.
You can find the other function values. Use your textbook. Look at their definitions.
Answer by solver91311(24713)  (Show Source):
You can put this solution on YOUR website!
It is called the Pythagorean Theorem. If ) is on the terminal ray of a triangle, then  is the hypotenuse of the right triangle formed by the line segment from the origin to the point, the vertical line segment from the point to the  -axis, and the portion of the -axis from the origin to the the point ) . The hypotenuse, from the definition of the sin and cos functions, is the denominator of the fractions that represent the sin and cos ratios. Then is the numerator of the cos, and  is the numerator of sin.
Then cot is the reciprocal of tan, sec is the reciprocal of cos, and csc is the reciprocal of sin.
Just plug in your numbers and do the arithmetic. I presume you know how to rationalize a denominator. If not, there are a couple of lessons on this site to teach that.
John
My calculator said it, I believe it, that settles it
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