Calculate trigonometric ratios for 30° and 60°
I can calculate trigonometric ratios for 30° and 60°.
Calculate trigonometric ratios for 30° and 60°
I can calculate trigonometric ratios for 30° and 60°.
Lesson details
Key learning points
- The trigonometric ratios for 30° and 60° can be calculated using an equilateral triangle
- The triangle should have lengths of 2 units
- By splitting the triangle into two right-angled triangles, you can calculate the ratios
Common misconception
Trigonometry always involves rounding.
Try evaluating sin(30) on your calculator. What answer do you get?
Keywords
Trigonometric functions - 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.
Cosine function - The cosine of an angle (cos(θ°)) is the x-coordinate of point P on the triangle formed inside the unit circle.
Tangent function - The tangent of an angle (tan(θ°)) is the y-coordinate of point Q on the triangle which extends from 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).
Video
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