Trigonometry

Name sides and angles in a right-angled triangle

Identify ratio of sides in right-angled triangles

Identify sine, cosine and tangent ratios

Identifying secant, cosecant and cotangent ratios

Evaluate sine, cosine and tangent ratios

Determining all 6 trig ratios in a triangle

Find angles from sine, cosine and tangent measures

Evaluate sine, cosine and tangent expressions

Find side lengths in right-angled triangles

Find angles in right-angled triangles

Solve for sides or angles I

Solve contextual problems in right triangles I

Solve for sides or angles II

Solve for angles or other trig ratios

Solve for sides or angles III

Angles of elevation and depression I

Solve problems involving two right-angled triangles

Solve contextual problems in right triangles II

Trigonometric ratios review

Side lengths with exact values

Angles in exact value right triangles

Trigonometry in 3D

Solve contextual problems in right triangles III

Sine rule - the ambiguous case

Applications of the sine rule

Applications of the cosine rule

Solve problems involving either sine or cosine rule

Area of non-right angled triangles

Determine a valid triangle from given conditions

Class X

Solve problems involving two right-angled triangles

Interactive practice questions

Consider the following diagram.

a

First, find the length of $CD$CD correct to two decimal places.

b

Then, find the length of $AC$AC correct to two decimal places.

c

Hence, find the length of $AD$AD correct to two decimal places.

Easy

4min

Consider the following diagram.

Easy

3min

Consider the following diagram.

Easy

3min

Consider the following diagram:

Medium

5min

Outcomes

10.T.IT.1

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0° and 90°. Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios.

10.T.IT.2

Trigonometric Identities: Proof and applications of the identity sin^2 A + cos^2 A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.

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