SOLUTION: Please I really need help with this question. It says find all values of data (in radians) that satisfy the given equation. (a) cos= -1/√2 (b) sin= -1/√2 I think I

Algebra ->  Trigonometry-basics -> SOLUTION: Please I really need help with this question. It says find all values of data (in radians) that satisfy the given equation. (a) cos= -1/√2 (b) sin= -1/√2 I think I      Log On


   

Question 640838: Please I really need help with this question. It says find all values of data (in radians) that satisfy the given equation.
(a) cos= -1/√2
(b) sin= -1/√2
I think I have to set up a triangle and find the missing leg and thats it. But I'm not sure.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


First, rationalize your denominators:



Do the same thing for your other equation.

Then look up the values on the unit circle:



Remember, the -coordinate of the point of intersection of the terminal ray with the unit circle is the value of the cosine and the -coordinate is the value of the sine.

Since you haven't restricted the independent variable to a particular range, be sure to add to each of the two values you should get for each of your equations.

John

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