Question 905864: Use reciprocal identities to give the value of each expression
a. If cos θ = 1/5, what is sec θ?
b. If csc θ = 3/4, what is sin θ?
c. If tan θ = 5/12 and sin θ = 5/13, what is sec θ?
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Use reciprocal identities to give the value of each expression
a. If cos θ = 1/5, what is sec θ?
sec = 1/cos = 5
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b. If csc θ = 3/4, what is sin θ?
sin = 1/csc
sin > 1 --> no real number solution
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c. If tan θ = 5/12 and sin θ = 5/13, what is sec θ?
sec^2 = tan^2 + 1
sec^2 = 25/144 + 1 = 169/144
sec = 13/12
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Or
tan = sin/cos
cos = sin/tan = (5/13)/(5/12) = 12/13
sec = 13/12
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