SOLUTION: the sin θ = -3/4, tan θ is positive. find the other five functions ( exact values)

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Question 378181: the sin θ = -3/4, tan θ is positive. find the other five functions ( exact values)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
the sin θ = -3/4, tan θ is positive. find the other five functions ( exact values)
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The sine is negative in Quads 3 & 4
The tan is positive in Quads 1 & 3
--> the angle is in Quad 3
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The hypotenuse = 4, x = -3, y = - sqrt(7)
cos = -3/-sqrt(7) = 3sqrt(7)/7
tan = sin/cos = (-3/4)/(3sqrt(7)/7 = -3sqrt(7)/-21 = sqrt(7)/7
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You can do the remaining 3
cot = 1/tan
sec = 1/cos
csc = 1/sin