# GRAPHS OF TRIGONOMETRIC RATIOS

CONTENT

1. Graphs of:

(i) Sine \( 0^o ≤ x ≤ 360^o \)

(ii) Cosine \(0^o ≤ x ≤ 360^o \)

2. Graphical solution of simultaneous linear and trigonometric equations.

** **

THE GRAPH OF \(y = \text{Sine } 0^o ≤ x ≤ 360^o \) The graph of \(y = sin θ\) is drawn by considering the table of values for \(sin θ\) from \(θ = 0^o\) to \(θ = 360^o\)at intervals of \(90^o\) as shown in the table below.

\(θ\) | 0^{o} |
90^{o} |
180^{o} |
270^{o} |
360^{o} |
---|---|---|---|---|---|

\(y = sin θ\) | 0 | 1 | 0 | -1 | 0 |

THE GRAPH OF \(Y= cos θ\) for \(0^o < θ^o < 360^o\)

The graph of \(y = cos θ\) is also drawn by considering the table of values for \(cos θ\) from \(θ = 0^o\) to \(θ = 360^o \)at intervals of \(90^o\)as shown in the table below.

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