SOLUTION: If Rcosx = 1 and Rsinx = 3, where R>0 and 0<x<90, find the exact value of R and x correct to the nearest degree I know it has something to do with further Trig equations for year

Question 890124: If Rcosx = 1 and Rsinx = 3, where R>0 and 0 I know it has something to do with further Trig equations for year 11 3 unit maths.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If Rcosx = 1 and Rsinx = 3, where R>0 and 0 < x < 90, find the exact value of R and x correct to the nearest degree
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sin = 3*cos
sin^2 + cos^2 = 1
9cos^2 + cos^2 = 1
cos^2 = 1/10
cos(x) = sqrt(10)/10
x =~ 71.565 degs --> 72 degs to the nearest deg
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R*cos(x) = 1
R = 1/cos(x) = sqrt(10)
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