Asked by Dorian
                If sinθ=5/13,determine each of the following without the use of a calculator
(Hint use a sketch)(θ<90°)
1.4.1 cos θ
1.4.2 tanθ
            
        (Hint use a sketch)(θ<90°)
1.4.1 cos θ
1.4.2 tanθ
Answers
                    Answered by
            mathhelper
            
    sinθ=5/13 = y/r
so sketch a right-angled triangle with hypotenuse 13, opposite side (the y)
equal to 5.
x^2 + y^2 = r^2
x^2 + 25 = 169
x^2 = 144
x = 12 , everything is positive since we are in quadrant I
cosθ = 12/13
tanθ = 5/12
perhaps you recognized the common 5-12-13 right-angled triangle.
    
so sketch a right-angled triangle with hypotenuse 13, opposite side (the y)
equal to 5.
x^2 + y^2 = r^2
x^2 + 25 = 169
x^2 = 144
x = 12 , everything is positive since we are in quadrant I
cosθ = 12/13
tanθ = 5/12
perhaps you recognized the common 5-12-13 right-angled triangle.
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