Trigonometry

Pythagoras in 3D

The Trigonometric Ratios

Triangle Problems

Trigonometry in 3D

Applications to Real Life

Sine Rule (Ambiguous Case)

Applications of the Sine Rule

Applications of the Cosine Rule

Sine and Cosine Rule

Area of Non-Right Angled Triangles

Stage 4 - Stage 5

The Trigonometric Ratios

Interactive practice questions

Write down the ratio represented by $\cos\theta$cosθ.

A right-angled triangle, $\triangle ABC$△ABC, has its right angle, $\angle ACB$∠ACB, at vertex $C$C as indicated by a small blue square. The side $AB$AB, which is also the hypotenuse, is opposite the right angle $\angle ACB$∠ACB.

The angle at vertex $B$B, $\angle ABC$∠ABC, is marked with a double blue arc, and is labeled as $\theta$θ. The vertical side $AC$AC is opposite $\angle ABC=\theta$∠ABC=θ and the horizontal side $BC$BC is adjacent $\angle ABC=\theta$∠ABC=θ. The angle at vertex $A$A, $\angle BAC$∠BAC, is marked with a single blue arc and is labeled as $\alpha$α.

Easy

< 1min

Write down the ratio represented by $\tan\theta$tanθ.

Easy

< 1min

Write down the ratio represented by $\sin\theta$sinθ.

Easy

< 1min

Consider the following figure.

Easy

3min

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