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
Algebra.Com
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): You can put this solution on YOUR website!
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:
\ =\ \frac{\sin(\theta)}{\cos(\theta))
\ =\ \frac{1}{\tan(\theta)}\ =\ \frac{\cos(\theta)}{\sin(\theta))
\ =\ \frac{1}{\cos(\theta))
\ =\ \frac{1}{\sin(\theta))
John
My calculator said it, I believe it, that settles it
From
I > Ø
RELATED QUESTIONS
The terminal side of an angle theta in standard position passes through the point (2,... (answered by Solver92311)
The terminal side of an angle θ (theta) in standard position passes through the... (answered by KMST)
what is the exact value of csc theta if theta is an angle in standard position and its... (answered by Fombitz)
Suppose that theta is an angle in standard position whose terminal side passes through... (answered by robertb)
The terminal side of an angle in standard position passes through the point . Calculate... (answered by solver91311)
the terminal side of an angle in standard position passes through the point (-1,5).... (answered by Alan3354,stanbon)
A point on the terminal side of an angle theta in standard position is given, (-3,-2).... (answered by Boreal)
The terminal side of an angle Θ in standard position passes through the point (6,8). (answered by stanbon)
find the values of the six trigonometric functions of an angle q in standard position... (answered by stanbon)