SOLUTION: A point P is on the terminal side of angle theta. Evaluate the six trigonometric functions for theta.
P(4, -7)
Sin(theta)
cos(theta)
Tan(theta)
Csc(theta)
Sec(theta)
cot(t
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Question 1128094: A point P is on the terminal side of angle theta. Evaluate the six trigonometric functions for theta.
P(4, -7)
Sin(theta)
cos(theta)
Tan(theta)
Csc(theta)
Sec(theta)
cot(theta)
Thank you!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Trigonometry-basics/1128094 (2018-11-05 16:42:40): A point P is on the terminal side of angle theta. Evaluate the six trigonometric functions for theta.
P(4, -7)
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Note: P is in QIV where sin and tan are negative
x = 4 ; y = -7 ; r = sqrt(4^2+7^2) = sqrt(65)
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Sin(theta) = y/r = -7/sqrt(65)
cos(theta) = x/r = 4/sqrt(65)
Tan(theta) = y/x = -7/4
Csc(theta) = r/y = -sqrt(65)/7
Sec(theta) = r/x = sqrt(65)/4
cot(theta) = x/y = -4/7
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Cheers,
Stan H.
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