Using the sine ratio
I can use the sine ratio to find the missing side or angle in a right-angled triangle.
Using the sine ratio
I can use the sine ratio to find the missing side or angle in a right-angled triangle.
Lesson details
Key learning points
- The sine ratio involves the hypotenuse, opposite and the angle.
- If you know the length of the hypotenuse and the size of the angle, you can use the sine ratio.
- If you know the length of the opposite and the size of the angle, you can use the sine ratio.
- If you know the length of the hypotenuse and opposite, you can use the sine ratio.
Common misconception
The sine formula is only used to find the length of a side opposite an angle.
Whilst the sine formula can be used to find the length of a side opposite an angle, a rearrangement of the formula also allows us to find the length of the hypotenuse given the opposite side. The arcsine function allows us to find the angle, itself.
Keywords
Hypotenuse - The hypotenuse is the side of a right-angled triangle which is opposite the right angle.
Opposite - The opposite side of a right-angled triangle is the side which is opposite the marked angle.
Trigonometric function - Trigonometric functions are commonly defined as ratios of two sides of a right-angled triangle for a given angle.
Sine function - The sine of an angle (sin(θ°)) is the y-coordinate of point P on the triangle formed inside the unit circle.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
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