Overview
Trigonometry

Trigonometry: Sine, Cosine, Tangent

 Video Tutorial

Key Aspects:
  • Sine, Cosine, and Tangent in Right Triangles
  • Using Sine, Cosine, and Tangent to Determine Missing Sides
  • Using Inverse Sine, Cosine, and Tangent to Determine Missing Angles
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1) Sine, Cosine, Tangent

Definitions, ratios, and visuals of sine, cosine, and tangent shown in a right triangle.

2) Applying Sine to Find a Side

A right triangle with 30° angle, opposite side 4 cm. Using the ratio of sin 30°, solve the hypotenuse, which is 8 cm.

3) Applying Tangent to Find a Side

The application of using tangent to find the missing side of a right triangle with a 50-degree angle and a known side of 5 cm.

4) Applying Inverse Cosine to Find an Angle

Finding the angle using cosine in a right triangle with sides 4 cm and 8 cm, showing the calculation cos θ = 1/2 and θ = cos⁻¹(1/2) = 60°.

5) Common Values (Previously Asked in GCSE Exams)

Common values of sine, cosine, and tangent for 30°, 60°, and 45° with right triangles and ratios.

 GCSE Revision Cards

 Practice

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