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- Year 10•
- Foundation
Calculate trigonometric ratios for 30° and 60°
I can calculate trigonometric ratios for 30° and 60°.
- Year 10•
- Foundation
Calculate trigonometric ratios for 30° and 60°
I can calculate trigonometric ratios for 30° and 60°.
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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
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.
Common misconception
Trigonometry always involves rounding.
Try evaluating sin(30) on your calculator. What answer do you get?
To help you plan your year 10 maths lesson on: Calculate trigonometric ratios for 30° and 60°, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Calculate trigonometric ratios for 30° and 60°, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
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The assessment exit quiz will test your pupils' understanding of the key learning points.
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Explore more key stage 4 maths lessons from the Right-angled trigonometry unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.Three trigonometric ratios are sine, cosine and .
Q2.Lucas has used his calculator to work out the value of $$\cos(48^\circ)$$. What is the value to 2 decimal places?

Q3.Izzy has used her calculator to answer a trigonometry question. What is the length of the hypotenuse?

Q4.Laura has used her calculator to answer a trigonometry question. What is the length of the adjacent?

Q5.Andeep has attempted to use his calculator to answer a trigonometry question but has found himself with this message on his calculator. What might he have done wrong?

Q6.Which calculations are correct to find the length marked $$x$$?

Assessment exit quiz
6 Questions
Q1.Which type of triangle can help deduce the exact trigonometric ratios for $$30^\circ$$ and $$60^\circ$$?
Q2.What is the exact value of $$\cos(30^\circ)$$?

Q3.What is the exact value of $$\sin(60^\circ)$$?

Q4.What is the exact value of $$\tan(60^\circ)$$?
