Tanθ=sinθ/cosθ
True or False
2 answers:
If; A = Adjacent O = Opposite H = Hypotenuse Then, Sin Ф = O/H Cos Ф = A/H Therefore, (Sin Ф)/Cos Ф) = (O/H)/(A/H) = (O/H)*(H/A) = O/A Now, tan Ф = O/A ---- Therefore, it is true that tan Ф = SinФ/CosФ
Take a right angled triangle with side lengths x, y, and z, where x is the hypotenuse. sin θ=z/x cos θ=y/x sinθ/cosθ=(z/x)/(y/x)=z/y=tan θ the statement is true.
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