Question

1.Solve sin(x)=−0.61sin(x)=-0.61 on 0≤x<2π0≤x<2πThere are two solutions, A and B, with A < B

2.Solve 5cos(5x)=25cos(5x)=2 for the smallest three positive solutions.Give your answers accurate to at least two decimal places, as a list separated by commas

3.Solve 5sin(π4x)=35sin(π4x)=3 for the four smallest positive solutions

4.Solve for tt, 0≤t<2π0≤t<2π 21sin(t)cos(t)=9sin(t)21sin(t)cos(t)=9sin(t)

5.Solve for the exact solutions in the interval [0,2π)[0,2π). If the equation has no solutions, respond with DNE. 2sec2(x)=3−tan(x)

6.Give the smallest two solutions of sin(7θθ) = -0.6942 on [ 0,2π0,2π ).

7.Solve for the exact solutions in the interval [0,2π)[0,2π). If the equation has no solutions, respond with DNE. sec(4x)=√2

8.Solve for the exact solutions in the interval [0,2π).[0,2π). List your answers separated by a comma, if it has no real solutions, enter DNE.  3tan(3x)=√33tan(3x)=3

Answer 1

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