Cosine and the graph of cos(x)

Descrição

This note gives a definiton of cosine of an angle, and explains the shape of the y = cos(x) graph
rory.examtime
Notas por rory.examtime, atualizado more than 1 year ago
rory.examtime
Criado por rory.examtime mais de 10 anos atrás
213
6

Resumo de Recurso

Página 1

In a right-angled triangle, the cosine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.

Cos(X) = A                H

For example, in this triangle:

the cosine of angle A (CosA) is 0.6, because the ratio of the opposite side (3) to the hypotenuse (5) is 3/5.

Graph of cos(x):

-Note that x, the angle, is in radians, not degrees.

- Similarly to sin(x), this graph is often referred to as a wave, and has a period of 2π (after every 2π radians, the graph repeats it self)

- In fact, the graph of cos(x) is identical in shape to the sin(x) graph, just out of phase by π/2.

- This means that sin(x) = cos(x+π/2).

New Page

Semelhante

Trigonometry, Equations, Pythagoras theorem
Caitlin Mortlock
Lines and Triangles
Jadéjah Robinson
Maths C4 Trig formulae (OCR MEI)
Zacchaeus Snape
Fractions and percentages
Bob Read
GCSE Maths Symbols, Equations & Formulae
Andrea Leyden
FREQUENCY TABLES: MODE, MEDIAN AND MEAN
Elliot O'Leary
HISTOGRAMS
Elliot O'Leary
CUMULATIVE FREQUENCY DIAGRAMS
Elliot O'Leary
GCSE Maths: Geometry & Measures
Andrea Leyden
GCSE Maths: Understanding Pythagoras' Theorem
Micheal Heffernan
Using GoConqr to study Maths
Sarah Egan