Using the tangent ratio
I can use the tangent ratio to find the missing side or angle in a right-angled triangle.
Using the tangent ratio
I can use the tangent ratio to find the missing side or angle in a right-angled triangle.
Lesson details
Key learning points
- The tangent ratio involves the opposite, adjacent and the angle.
- If you know the length of the opposite and the size of the angle, you can use the tangent ratio.
- If you know the length of the adjacent and the size of the angle, you can use the tangent ratio.
- If you know the length of the opposite and adjacent, you can use the tangent ratio.
Common misconception
Pupils may get the fraction (opposite/adjacent) inverted and this will still return an answer so they may believe they are correct.
Remind pupils to sense check their answers. The larger the angle, the longer the opposite side will be.
Keywords
Trigonometric functions - Trigonometric functions are commonly defined as ratios of two sides of a right-angled triangle containing the angle.
Tangent function - The tangent of an angle (tan(θ°)) is the y-coordinate of point Q of the triangle which extends from the unit circle.
Adjacent - The adjacent side of a right-angled triangle is the side which is next to both the right angle and the marked angle.
Opposite - The opposite side of a right-angled triangle is the side which is opposite the marked angle.
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).
Video
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