1) Find the exact value of the expressin if possible. sin(2tan -1 (radical 5 / 2
ID: 3015316 • Letter: 1
Question
1) Find the exact value of the expressin if possible.
sin(2tan-1(radical 5 / 2)
Quadrant for angle?
2) Solve triangle ABC if given a=35 degrees, b=75 degrees, and B=10
3) Find the exact value of tan(2x) for the given value of x.
sec(x)=-4 ; 180<x<270
Quadrant for x?
4) Use the inverse functions to find the solutions to the equation in the interval [0,pi]
2cos2(x) + 2cos(x) -1=0
5) Find the exact value
cos-1(cos (7pi/6))
6) Find the exact solutions in the interval [0,2pi]
sin(2x) -cos(x)=0
7) If you buy a baseball bat for $1.05 and if the baseball bat is 5 cents more than the baseball, then how much did each one cost?
Explanation / Answer
sin(2tan-1(radical5)/2)
tan-1(radical 5/2)=t
radical 5/2=tan t
hypotenuse=sqrt(5+4)=3
sin t= opposite/hypotenuse=radical5/3
cos t= adjacent/hypotenuse=2/3
sin 2t=2 sin t cos t=2(radical5/3)(2/3) = 4 radical 5/9
Therefore sin(2tan-1(radical 5/3)) = 4radical5/9
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