SOLUTION: Sketch an angle θ in standard position and find the values of the six trig functions for the angle. (-4,3) 1. sin__ cos__ tan__ csc__ sec__ cot__

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Question 735271: Sketch an angle θ in standard position and find the values of the six trig functions for the angle.
(-4,3)
1. sin__
cos__
tan__
csc__
sec__
cot__
Found 2 solutions by solver91311, lwsshak3:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Plot the point given. Use the distance formula to calculate the measure of the line segment from the origin to the point to get the measure of the hypotenuse (or recognize 3, 4, 5 as a Pythagorean Triple).

Then sine is opposite divided by hypotenuse, cosine is adjacent divided by hypotenuse, tangent is sine over cosine, cosecant is the reciprocal of sine, secant is the reciprocal of cosine, and cotangent is the reciprocal of tangent.

John

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Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Sketch an angle θ in standard position and find the values of the six trig functions for the angle.
(-4,3)
***
Given coordinates places θ in Q2 where sin>0, cos<0, tan<0.
We are working with a (3-4-5) reference right triangle.
sin θ=3/5
cos θ=-4/5
tan θ=-3/4
csc θ=5/3
sec θ=-5/4
cot θ=-4/3
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