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
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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) (Show Source): You can put this solution on YOUR website!
First, rationalize your denominators:
\ =\ -\frac{1}{\sqrt{2}}\ =\ -\frac{1}{\sqrt{2}}\left(-\frac{\sqrt{2}}{\sqrt{2}\right)\ =\ -\frac{\sqrt{2}}{2})
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
My calculator said it, I believe it, that settles it
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