Trigonometry - The Sine Ratio

This video looks at how we can use the sine ratio to solve for unknown sides of a right angle triangle and unknown angles of a right angle triangle.

The sine ratio of a reference angle is equivalent to the ratio of the opposite side to the hypotenuse side of a right angle triangle.

If you were comfortable with the math from the previous video/lesson this math should also make sense. The way we apply the sine ratio is identical to the tangent ratio with only key difference. While the tangent ratio looks at the ratio of opposite side to the adjacent side the side ratio looks at the ratio of the opposite side to they hypotenuse side.

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Using the sine ratio we can solve a few different trigonometric problems. The sine ratio has three variables (a reference angle, the opposite side length and the hypotenuse's side length), of which we need two to be given to be able to solve for the third. This relates to the problems we can solve using the tangent ratio.










Follow the link below for this lesson's video:

7.4 - Trigonometry - The Sine Ratio

**NOTE: The sine ratio can NEVER be a value greater than 1. Since the demominator in the ratio is the hypotenuse, which is the longest side of a right angle triangle the numerator will always be smaller than the denominator. A ratio that has the numerator smaller than the denominator the is always equivalent to a value less than