SOLUTION: find the values of the trigonometric functions of theta from the information given. tan theta =6, sin theta >0. a)sin theta_____ b)cos theta____c)csc theta__ d)sec theta_

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Question 140504: find the values of the trigonometric functions of theta from the information given. tan theta =6, sin theta >0.
a)sin theta_____ b)cos theta____c)csc theta__ d)sec theta__ e)cot theta__
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
find the values of the trigonometric functions of theta from the information given. tan theta =6, sin theta >0.
a)sin theta_____ b)cos theta____c)csc theta__ d)sec theta__ e)cot theta__
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If tan(theta) = 6 = y/x, then y=6 and x=1; so r = sqrt(6^2+1^2) = sqrt(37)
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Therefore:
sin(theta) = y/r = 6/sqrt(37)
cos(theta) = x/r = 1/sqrt(37)
tan(theta) = y/x = 6/1 = 6
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csc(theta) = 1/sin
sec(theta) = 1/cos
cot(theta) = 1/tan
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Cheers,
Stan H.

SOLUTION: find the values of the trigonometric functions of theta from the information given. tan theta =6, sin theta >0. a)sin theta_____ b)cos theta____c)csc theta__ d)sec theta__ e)cot t

SOLUTION: find the values of the trigonometric functions of theta from the information given. tan theta =6, sin theta >0. a)sin theta_ b)cos thetac)csc theta d)sec theta e)cot t