SOLUTION: Evaluate the expression under the given conditions. sin(θ/2); tan θ = − 3/4 , θ in Quadrant IV (assume 0 < θ < 2π)
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Question 957063: Evaluate the expression under the given conditions. sin(θ/2); tan θ = − 3/4 , θ in Quadrant IV (assume 0 < θ < 2π) Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! use x for θ
Evaluate the expression under the given conditions. sin(x/2); tan x = − 3/4 , x in Quadrant IV (assume 0 < x < 2π)
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working with a (3-4-5) reference right triangle in quadrant IV where sin<0, cos>0
cos x=4/5 (In Q4)
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Check: w/calculator
tanx=-3/4(In Q4)
x=323.13
x/2=161.57
sin(x/2)=sin(161.57)≈0.3162
Exact value=√10/10≈0.3162
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