SOLUTION: Someone PLEASE help !!!!!! Evaluate the expression under the given conditions. sin(θ − ϕ); tan θ = 3/4, θ in Quadrant III, sin ϕ = −3 sqrt

Algebra ->  Trigonometry-basics -> SOLUTION: Someone PLEASE help !!!!!! Evaluate the expression under the given conditions. sin(θ − ϕ); tan θ = 3/4, θ in Quadrant III, sin ϕ = −3 sqrt       Log On


   

Question 1024602: Someone PLEASE help !!!!!!
Evaluate the expression under the given conditions.
sin(θ − ϕ); tan θ = 3/4, θ in Quadrant III, sin ϕ = −3 sqrt 10/10 , ϕ in Quadrant IV
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate the expression under the given conditions.
sin(t − p);
tan(t) = 3/4, t in Quadrant III,
sin(t) = -3/5
cos(t) = -4/5
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sin (p) = −3 sqrt 10/10 , ϕ in Quadrant IV
cos(p) = sqrt[10^2-9*10]/10 = sqrt(10)/10
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sin(t-p) = sin(t)cos(p)-cos(t)sin(p)
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Ans: Substitute the sin and cos values to get the answer
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Cheers,
Stan H.
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