exam Maths Puzzle Numerical Ability

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The Patrick County 4-H club has $300 to spend on trees for the club's orchard. The club votes to plant both apple trees and pear trees. If

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12 5
 +  = 1
3x-2 x+4 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