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Sine Cosine Tangent Formula


To calculate the angle of a right triangle, sine cosine tangent formula is used. The ratio of the different sides of the triangle gives the sine cosine and tangent angles. Here the hypotenuse is the longest side, the side opposite to the hypotenuse is the opposite side and the where both the sides rests is the adjacent side. A right angle looks like this:

sine cosine

The Sine Cosine Tangent Formula is,

\[\large Sin\;\theta = \frac{Opposite}{Hypotenuse}\]

\[\large cos\;\theta = \frac{Adjacent}{Hypotenuse}\]

\[\large tan\;\theta = \frac{Opposite}{Adjacent}\]

Solved Examples

Question: Calculate the angle in a right triangle whose adjacent side and hypotenuse are 12 cm and 20 cm respectively ?
Solution:

Given,
Adjacent side = 12 cm
Hypotenuse = 20 cm

$cos\; \theta$ = $\frac{Adjacent}{Hypotenuse}$

$cos\; \theta$ = $\frac{12}{20}$

$\theta = cos^{-1}(0.6)$

$\theta = 99.99$ 

More topics in Sine Cosine Tangent Formulas
Sine Formula Cosine Formula
Tangent Formula Arctan Formula
Half Angle formula Double Angle Formulas