GCSE Maths: Understanding Trigonometry with questions
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Course
Maths
Institution
GCSE
Explanations of terms like sine, cosine, tangent, hypotenuse, opposite side, and adjacent side.
Trigonometric identities: Equations that relate different trigonometric functions.
Pythagorean theorem: A theorem that relates the lengths of the sides of a right-angled triangle.
Applications of trig...
Trigonometry: GCSE Maths
Understanding Trigonometry
Trigonometry is a branch of mathematics that deals with the relationships between the sides
and angles of triangles. It is particularly useful in solving problems involving right-angled
triangles.
The Trigonometric Ratios
There are three main trigonometric ratios:
Sine (sin): Opposite side / Hypotenuse
Cosine (cos): Adjacent side / Hypotenuse
Tangent (tan): Opposite side / Adjacent side
These ratios are defined for right-angled triangles, where:
The hypotenuse is the side opposite the right angle.
The opposite side is the side opposite the angle of interest.
The adjacent side is the side next to the angle of interest.
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rightangled triangle with labels for hypotenuse, opposite, and adjacent sides
Using Trigonometric Ratios to Find Sides and Angles
You can use the trigonometric ratios to find the length of a side or the measure of an angle
in a right-angled triangle.
Example 1: Finding a side If you know the measure of an angle and the length of one side,
you can use the appropriate trigonometric ratio to find the length of another side.
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