SOLUTION: The book says: In each exercise, use identities to find the exact values at &#945; for the remaining five trigonometric functions. csc &#945;; = (sqrt 3) and 0 < &#945; < pi/2

Algebra ->  Trigonometry-basics -> SOLUTION: The book says: In each exercise, use identities to find the exact values at &#945; for the remaining five trigonometric functions. csc &#945;; = (sqrt 3) and 0 < &#945; < pi/2       Log On


   



Question 841943: The book says:
In each exercise, use identities to find the exact values at α for the remaining five trigonometric functions.
csc α; = (sqrt 3) and 0 < α < pi/2

I found sin (α) since csc = 1/sin it would be 1/sqrt 3, but that's where I get stuck; how do I find the other functions using identities?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
In each exercise, use identities to find the exact values at α for the remaining five trigonometric functions.
csc α; = (sqrt 3) and 0 < α < pi/2

I found sin (α) since csc = 1/sin it would be 1/sqrt 3, but that's where I get stuck; how do I find the other functions using identities?
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There's more than 1 way to do it.
Here's 1 way:
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cos = sqrt(1 - sin^2)
cos = sqrt(1 - 1/3) = sqrt(2/3)
Then tan = sin/cos
cot = cos/sin
sec = 1/cos