SOLUTION: Find the approximate values of the trigonometric functions of θ given the following information. Enter the values correct to 2 decimal places.
θ is in standard position
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θ is in standard position
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Question 919008: Find the approximate values of the trigonometric functions of θ given the following information. Enter the values correct to 2 decimal places.
θ is in standard position
the terminal side of θ is in quadrant III
the terminal side is parallel to the line 2y - 7x + 9 = 0 Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Find the approximate values of the trigonometric functions of θ given the following information. Enter the values correct to 2 decimal places.
θ is in standard position
the terminal side of θ is in quadrant III
the terminal side is parallel to the line 2y - 7x + 9 = 0
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2y-7x+9=0
2y=7x-9
y=(7/2)x-9/2
slope=7/2=tanθ
hypotenuse of reference right triangle=√(7^2+2^2)=√(53)(in quadrant III where sin<0,cos<0)
..
sinθ=-7/√53=-7√53/53
cosθ=-2/√53=-2√53/53
tanθ=7/2
cscθ=-√53/7
secθ=-√53/2
cotθ=2/7
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