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Trig Review

Trig Review. Sketch the graph of f(x) = e x . Sketch the graph of g(x) = ln x. If f(x) = 2 x , then explain the transformation of f(x) = 2 x+3 +5. Convert to radian measure: 150 0 , 225 0 , 300 0 , -60 0 . Convert to degree measure:.

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Trig Review

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  1. Trig Review

  2. Sketch the graph of f(x) = ex. • Sketch the graph of g(x) = ln x.

  3. If f(x) = 2x, then explain the transformation of f(x) = 2x+3+5. • Convert to radian measure: 1500, 2250, 3000, -600. • Convert to degree measure:

  4. Find the following inverse trig functions in both degrees and radians. Sin-1 (1/2)= Sin-1 (-1/2)= Sin-1 (-1)= Cos-1 (-1/2)= Cos-1 (0)= Cos-1 (1)= Tan-1 (-1)= Tan-1 ( )=

  5. Which is larger, m<A = 150 or m<B = 15 radians? Justify your answer. • Convert 9000 to revolutions. Convert to revolutions.

  6. If Tan , evaluate Sin q. • If Sin q = -2/9 and Tan q > 0, evaluate Sec q.

  7. Evaluate ArcSin(Sin 11p/6). • Graph: y = 3 Sin q - 1. • Calculate the amplitude and period of y = -4Cos(3q).

  8. Simplify: Cos (-q)*Csc(-q). • Simplify: Sin2 (p/2-q)/Sec (-q). • Simplify: Cot (q) + Tan (q). • Simplify: 1-3Sin2(q) +2Sin2(q). • Simplify: Cos4 (q)-Sin4 (q). • Simplify:

  9. Prove: Sin2q = 2SinqCosq. • Prove: 2-Cos2q-(1-Cos2q)=1. • Prove: Tanq+Tan3q =Sec2q/Cotq. • Prove: Sin2qCosq=Cosq-Cos3q.

  10. Solve on the interval [0,2p): 3(Sinq+1)=Sinq+4 • Calculate the exact solution to: • Solve on the interval [0,2p):

  11. Calculate the exact solution to: Tan2 q = Tan q. • Calculate the exact solution to: 3Cos2 q-10Cos q+3=0.

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