Trigonometry 1
Introduction
Basic definitions
Converting angles Example 1
Example 2
Example 3 Find the length of the arc of a circle of radius 5.2 cm, given that the arc subtends an angle of 0.8 rad at the
Example 4. if the arc length (l) of a circle with a radius r is 5 cm, and θ subtends that arc. a. solve for θ b. solve for r
Example 5. A measuring wheel with a radius of 25cm is used to measure a 30m distance. Calculate the angle in Rad, and the
Example 5. A measuring wheel with a radius of 25cm is used to measure a 30m distance. How many revolutions it has to do? Is any
3.1.1 Area of a sector
Example 6 A plot of land is in the shape of a sector of a circle of radius 55 m. The length of fencing that is erected along
Your turn
Your turn
Solution
3.1.2 Basic trigonometric functions
Example 8 Draw diagrams to show the position of OP where θ=〖400〗^o .
Your turn! Draw diagrams to show the position of OP where θ=〖-480〗^o .
Example 9 Write down the values of sin⁡〖〖90〗^o 〗 and cos 180^o.
Some values of trig rations you should know
Proof for angles 30o, and 60o
Proof for angle 45o
Example 10.
Applications,
Your turn!
Your turn!
Area of a triangle
Example 10
Your turn
Why?
Learning outcomes
Formulae
Preview activity: Trigonometry 2
1.66M
Category: mathematicsmathematics

Trigonometry 1

1. Trigonometry 1

Foundation Year Program
NUFYP Mathematics
Trigonometry 1
Rida El-Mehdawe
2019-2020

2.

Foundation Year Program
What does π
mean?
Trigonometry 1
Arc length
Sector area
Right triangle ratios
2019-2020

3. Introduction

Foundation Year Program
Introduction
Some application of trigonometry.
Construction tools, and windshield
Wiper.
Is it useful to relate logarithm to trigonometry? YES
simplification of reducing multiplication and division
to addition and subtraction. How?
Taking the log of both sides of the law of sine(Will
be studied in 3.5).
2019-2020

4. Basic definitions

Foundation
Foundation Year
Year Program
Basic definitions
• If the arc AB has length
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