Sine
sin alpha α = b/c
α = angle alpha
a = side "a"
b = side "b"
c = side "c"
WHAT IS IT ?
The sine of an angle (cos) is the ratio of the length of the opposite side to the hypotenuse.
CALCULATION:
EXAMPLE:
Consider a right triangle ABC, where ∠C is the right angle (90°), ∠A is the angle α, and ∠B is the angle β. We have the following sides:
- a is the side opposite angle α (opposite to angle α),
- b is the side adjacent to angle α (adjacent to angle α),
- c is the hypotenuse (the longest side, opposite the right angle).
The sine of angle α is defined as the ratio of the opposite side to the hypotenuse, i.e., a/c.
Example:
Let:
- opposite side a = 3 cm,
- hypotenuse c = 5 cm.
Calculation:
sin α = a/c = 0.6
So the sine of angle α is 0.6.
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