SOLUTION: The terminal side of an angle theta in standard position passes through the point (3,1)
Calculate the exact values of the six trig functions for angle theta
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-> SOLUTION: The terminal side of an angle theta in standard position passes through the point (3,1)
Calculate the exact values of the six trig functions for angle theta
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Question 1169026: The terminal side of an angle theta in standard position passes through the point (3,1)
Calculate the exact values of the six trig functions for angle theta Answer by Solver92311(821) (Show Source):
The three points , , and form a right triangle with angle at the origin.
First calculate the measure of the hypotenuse, which is the distance from the origin to point . Hint: use Pythagoras.
The sine of is the opposite side (the measure of the segment with endpoints and ) divided by the measure of the hypotenuse that you just calculated. (Don't forget to rationalize your denominator)
The cosine of is the adjacent side (the measure of the segment with endpoints and ) divided by the hypotenuse.
Once you know the sine and cosine of any angle, you can calculate the other four functions thus:
John
My calculator said it, I believe it, that settles it
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