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Trigonometry

# Trigonometric ratios: Sine

Right triangles have ratios to represent the angles formed by the hypotenuse and its legs. There are six basic trigonometric functions, which are tabulated here along with equations relating them to one another: Sine, cosine, tangent, cosecant, secant and cotangent.

Sine: The sine of an angle in a right triangle equals the opposite side divided by the hypotenuse.

 sin θ = opp hyp

 Find Sin A and Sin B

Using the Pythagorean Theorem, the missing leg must be 24, then
 sin A = 24 26 = 12 13 and sin B = 10 26 = 5 13

Look at the following right triangle, where:
a = 2
b = 5
Find the sine of angle A

The sine of angle A is =
(round the solution to hundredths)