Maths

If sinθ = (square root) 3/2 , find the value of θ in degrees (0 < θ < 90°)

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  1. as usual, draw the triangle -- in this case in QI.

    sinθ = y/r
    cosθ = x/r

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  2. Everybody studying trig should know the ratio of sides, and thus the trig ratios, of the 30-60-90° right angled triangles, as well as the 45 -45-90° triangle

    for the 30-60-90 the sides are 1 - √3 - 2 units respectively

    looking at your sketch of that triangle, notice that
    sin 60° = √3/2
    if sinØ = √3/2
    then Ø = 60° or π/3 radians

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  3. sorry. I misread the question.

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