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Why is $\frac{\sin{\theta}}{\cos{\theta}} = \tan{\theta}$
in Grade 12 Maths by Diamond (37.9k points) | 24 views

2 Answers

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using trig ratios we have,

$\cos{x} = \frac{A}{H}; \sin{x}= \frac{O}{H}$ and $\tan{x} = \frac{O}{A}$

Hence

$\frac{\sin{x}}{\cos{x}} = (O/H)/(A/H) = O/A= \tan{x}$ (proven)
by Silver Status (28.5k points)
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Soh CahToa

Sine = Opposite

Cosine = Adjacent

Tangent = Hypotenuse

 

Sine is equal to Opposite over Hypotenuse

Cosine is equal to Adjacent over Hypotenuse

Tangent is equal to Opposite over Adjacent

as follows for tan

tan = opp/adj. which is then the same as, tan = sin/cos
by Wooden (492 points)

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