SOLUTION: Given that sinø=4/7 and &#960;/2<ø<&#960;, find the values of the other 5 trigonometric functions of ø

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Question 873513: Given that sinø=4/7 and π/2<ø<π, find the values of the other 5 trigonometric functions of ø
Found 2 solutions by stanbon, lwsshak3:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given that sinø=4/7 and π/2<ø<π, find the values of the other 5 trigonometric functions of ø
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Note: t is in QII where x is negative and y is positive
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Since sin = y/r and sin = 4/7, y = 4 and r = 7
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Then x = sqrt[7^2-4^2] = -sqrt(33)
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sin = y/r = 4/7
cos = x/r = -sqrt(33)/7
tan = y/x = -4/sqrt(33)
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csc, sec, and cot are inverse of sin, cos, and tan
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Cheers,
Stan H.
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Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Given that sinø=4/7 and π/2<ø<π find the values of the other 5 trigonometric functions of ø
sin%28phi%29=4%2F7

tan%28phi%29=sin%28phi%29%2Fcos%28phi%29=-4%2Fsqrt%2833%29
csc%28phi%29=7%2F4
sec%28phi%29=-7%2Fsqrt%2833%29
cot%28phi%29=-sqrt%2833%29%2F4