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? asked in Science & MathematicsMathematics · 4 years ago

Trigonometry equation problem?

sin2t=cost where t element [0,2pi]. Write answer in exact radian measure.

3 Answers

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  • Ahmed Aba
    Lv 6
    4 years ago

    2sintcost-cost=0

    cost(2sint-1)=0

    cost=0,,then t=pi/2,,3pi/2

    2sint-1=0, 2sint=1,sint=1/2 then t=pi/6,5pi/6

  • Como
    Lv 7
    4 years ago

    2 sin t cos t - cos t = 0

    cos t [ 2 sin t - 1 ] = 0

    cos t = 0 , sin t = 1/2

    t = π/2 , 3π/2 , π/6 , 5π/6

  • Daniel H
    Lv 5
    4 years ago

    Identity: sin(2a) = 2sin(a)cos(a)

    2sin(t)cos(t) = cos(t)

    2sin(t) = 1

    sin(t) = 1/2

    t = pi/6 and 5pi/6

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