SOLUTION: If cos β = - 3/5 then, without a calculator, find cos(𝛑/2 - β). Write your answer as a fraction please. Thank You

Algebra ->  Trigonometry-basics -> SOLUTION: If cos β = - 3/5 then, without a calculator, find cos(𝛑/2 - β). Write your answer as a fraction please. Thank You      Log On


   



Question 1145659: If cos β = - 3/5 then, without a calculator, find cos(𝛑/2 - β). Write your answer as a fraction please.
Thank You

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If cos β = - 3/5 then, without a calculator, find cos(𝛑/2 - β).
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cos(𝛑/2 - β) = sin(β)
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sin(B) = sqrt(1 - cos^2(B)) = 4/5 or -4/5
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Cos is negative in Q2 and Q3.
Sin is positive in Q2 and negative in Q3