Right-angled trigonometry
Pages
The trigonometric ratios
Sine, cosine and tangent as ratios of sides, labelled hypotenuse.
Finding a side with trigonometry
Choosing the ratio that links the known angle to the wanted side.
Finding an angle with trigonometry
The inverse functions sin⁻¹.
Exact trigonometric values
The exact values of sin and cos at 0°, 30°, 45°, 60° and 90°, and tan up to 60°.
Angles of elevation and depression
Looking up and looking down turned into right-angled triangles.
Trigonometry in three dimensions
The angle between a line and a plane.
Practice
Practice
The trigonometric ratios
Sine, cosine and tangent as ratios of sides, labelled hypotenuse.
PracticeFinding a side with trigonometry
Choosing the ratio that links the known angle to the wanted side.
PracticeFinding an angle with trigonometry
The inverse functions sin⁻¹.
PracticeExact trigonometric values
The exact values of sin and cos at 0°, 30°, 45°, 60° and 90°, and tan up to 60°.
PracticeTrigonometry review
Right-angled triangles and the exact values, no calculator needed.