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Trigonometry made easy

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This beginner-friendly guide breaks down the basics of trigonometry using clear explanations and worked-out examples. Focused on right-angled triangles, it introduces key concepts like SOHCAHTOA, the Pythagorean Theorem, and how to calculate missing sides using trigonometric ratios. Whether you're a high school student or brushing up for exams, this guide will help you understand: What a right-angled triangle is The names of triangle sides (hypotenuse, opposite, adjacent) How to apply SOHCAHTOA to find unknown sides or angles Step-by-step examples with answers Quick tips and notes to remember important concepts Perfect for grades 8–12, math test prep, or anyone who wants to master the basics of trigonometry with ease!

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Institution
10th Grade

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TRIGONOMETRY MADE EASY
(RIGHT – ANGLED TRIANGLES)

- What is a right – angled triangle? A right – angled triangle is that
has an angle of 90 degrees.

- Since the sum of angles in a triangle add up to 180 degrees, the
two remaining angles are 60 degrees and 30 degrees. Please
bear in mind that These angles will also help us find the ratios of
the triangle. Not all right – angled triangles have those degrees.

Let’s break it down so that we can understand it properly.

- In a right – angled triangle, the three sides have names.
- The longest side is The Hypotenuse side.
- Looking at the Cartesian plane, the side that is drawn on the
y – axis is called The Opposite side.
- The one on the x – axis is called The Adjacent side.

, WE WILL USE A METHOD CALLED SOHCAHTOA TO
CALCULATE OR IDENTIFY THE SIDES OF THE
TRIANGLE.

What is SOHCAHTOA? This method will help us identify
trigonometric ratios of the right – angled triangles.

It is divided like this SOH / CAH / TOA.

SOH – S = SIN; O = OPPOSITE; H = HYPOTENUSE

Therefore – sin = opposite divided by hypotenuse

CAH – C = COS; A = ADJACENT; H = HYPOTENUSE

Therefore – cos = adjacent divided by hypotenuse

TOA – T = TAN; O = OPPOSITE; A = ADJACENT

Therefore – tan = opposite divided by adjacent

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Uploaded on
April 10, 2025
Number of pages
5
Written in
2024/2025
Type
Class notes
Professor(s)
Mrs kekana
Contains
All classes
R83,33
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