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 for sides or angles III

Interactive practice questions

Find the value of $f$f, correct to two decimal places.

A right-angled triangle with a $27$ -degree angle at its base is shown. The side opposite the $27$ -degree angle is labeled as "$f$f m" indicating a length in meters that is not specified. The side adjacent to the $27$ -degree angle is labeled " $8$ m," indicating a length of $8$ meters. The hypotenuse, connecting the vertex of the $27$ -degree angle to the right angle, is not labeled. The right angle is indicated by a small square at the triangle's base

Easy

2min

Find the value of $f$f, correct to two decimal places.

Easy

1min

Find the length $g$g, correct to two decimal places.

Easy

2min

Find the value of $x$x to the nearest degree.

Easy

1min

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.

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