SOLUTION: point P is on the terminal side of angle theta. Evaulate the six trigonometric functions for theta. P(-4,-6)

Question 156169This question is from textbook Pre Calculus Graphical,Numerical, Algebraic
: point P is on the terminal side of angle theta. Evaulate the six trigonometric functions for theta. P(-4,-6) This question is from textbook Pre Calculus Graphical,Numerical, Algebraic

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
point P is on the terminal side of angle theta. Evaulate the six trigonometric functions for theta. P(-4,-6)
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x,y, and r determine the trig ratios.
You are given x and y; so you can find r = sqrt(x^2+y^2) = sqrt(16 + 36)
= sqrt(52) = 2sqrt(13)
x = -4,
y = -6
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sin = y/r = -6/2sqrt(13)
cos = x/r = -4/2sqrt(13)
tan = y/x = -6/-4
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Each of these fractions may be reduced.
Then csc, sec, and ctn are the inverse of sin, cos, and tan.
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Cheers,
Stan H.
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