Examples, solutions, and videos to help GCSE Maths students learn how to find the Trig Ratios for multiples of 30, 45 and 60 degrees.
The following diagram shows the trig ratios of special angles: 0°, 30°, 45°, 60°, and 90°. Scroll down the page for more examples and solutions on the trigonometric ratios.
Trigonometry Worksheets
Practice your trigonometry skills with the following worksheets.
Printable
Trig Ratios: Sin, Cos, Tan
Sin & Cos of Complementary Angles
Find Missing Sides
Find Missing Angles
Area of Triangle using Sine
Law of Sines and Cosines
Online
Trigonometry (sine, cosine, tangent)
Trigonometry (sine, cosine, tangent)
Trigonometry (using a calculator)
Inverse Trigonometry (using a calculator)
Trigonometry (find an unknown side)
Trigonometry (find an unknown angle)
Using Sine
Using Cosine
Using Tangent
Using Sine, Cosine or Tangent
Trigonometry Applications Problems
How to remember the Trig Ratios?
There are three main methods to help you memorize the special trig ratios:
Have a look at the following video.
Have a look at the following lesson for explanations on the special triangles.
Trig Special Triangles
The following video will show you how to calculate the exact values of sin, cos and tan of 45 degrees using the 45°-45°-90° Triangle.
The following video will show you how to calculate the exact values of sin, cos and tan of 30 and 60 degrees using the 30°-60°-90° Triangle.
Trig. Ratios for positive multiples 30, 45 and 60 degrees
In this tutorial I show you how to calculate the exact values of sin, cos and tan for positive multiples of 30 and 60 degrees.
Trig. Ratios for negative multiples 30, 45 and 60 degrees
In this tutorial I show you how to calculate the exact values of sin, cos and tan for negative multiples of 30 and 60 degrees.
Try out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.