Question 898028: Find the values of the trigonometric functions of θ from the information given.
sec θ = 7, sin θ < 0
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find the values of the trigonometric functions of θ from the information given.
sec θ = 7, sin θ < 0
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Since sec is positive and sin is negative theta is in QIV.
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By definition sec = r/x
Since sec = 7, r = 7 and x = 1
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Then y = -sqrt(7^2-1^2] = -sqrt(48)= -4sqrt(3)
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Answers:
sin = y/r = -4(sqrt(3))/7
cos = x/r = 1/7
tan = y/x = -4sqrt(3)
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csc, sec, and cot are each the inverse of the above values.
Cheers,
Stan H.
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