Question

The tangent of an angle is equal to the ratio of its sine divided by its cosine: true or false?

Accepted Answer

The tangent of an angle is equal to the ratio of its sine divided by its cosine: true or false? Please give detailed answer

By definition:

t g \alpha \stackrel {\text {a d}} {\approx} \frac {A B}{O A}

\sin \alpha \stackrel {\text {a d}} {\approx} \frac {A B}{O B}

\cos \alpha \stackrel {\text {a d}} {\approx} \frac {O A}{O B}

\frac {\sin \alpha}{\cos \alpha} = \frac {A B}{O B}; \frac {O A}{O B} = \frac {A B}{O B} \frac {O B}{O A} = \frac {A B}{O A} = t g \alpha

Answer: True

Question #6318

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