exam Maths Puzzle Numerical Ability

Find the solutions of the equation that are in the interval [0,2π). Please show steps (especially rearranging the equation to solve it. Thanks for helping me. I know the solution is 7pi/6, 11pi/6, pi/2.

sinb+2cos^(2)b=1

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What is the slope of the line 3x= 5y-3? Solve (triangle) ABC if C=90 degrees, B=20 degrees, and b= 10. Round measures of sides to the nearest tenth and measures of angles to the nearest degree.