SOLUTION: Hi, I need your help. I'm having a hard time solving this question amd would be really glad if anyone can lend me a hand. Given that x is an acute angle and cos x = m. Find tan

Algebra ->  Formulas -> SOLUTION: Hi, I need your help. I'm having a hard time solving this question amd would be really glad if anyone can lend me a hand. Given that x is an acute angle and cos x = m. Find tan      Log On


   

Question 1046157: Hi, I need your help. I'm having a hard time solving this question amd would be really glad if anyone can lend me a hand.
Given that x is an acute angle and cos x = m. Find tan (x + 90) in terms of m.
Thank you.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Given that x is an acute angle and cos x = m. Find tan (x + 90) in terms of m.
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tan(x+90) = -cot(x)
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cos(x) = m
sin%28x%29+=+sqrt%281+-+cos%5E2%28x%29%29+=+sqrt%281+-+m%5E2%29
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-cot%28x%29+=+-cos%28x%29%2Fsin%28x%29+=+-m%2Fsqrt%281+-+m%5E2%29
tan%28x+%2B+90%29+=+m%2Asqrt%281+-+m%5E2%29%2F%28m%5E2-1%29