# Graph of cosine function

• May 5th 2010, 12:01 AM
mastermin346
Graph of cosine function
sketch the graph of each of the trigonometric functions for $0 <\theta<2\pi$

$y=1-2sin\theta$
• May 5th 2010, 12:25 AM
sa-ri-ga-ma
Quote:

Originally Posted by mastermin346
sketch the graph of each of the trigonometric functions for $0 <\theta<2\pi$

$y=1-2sin\theta$

When θ = 0, y = 1.
When θ = 30, y = 0.
When θ = 90 y = -1.
When θ = 150, y = 0.
when θ = 180, y = 1.
When θ = 270 y = 3.
When θ = 330, y = 2
When θ = 360, y = 1.
• May 5th 2010, 01:14 AM
Quote:

Originally Posted by mastermin346
sketch the graph of each of the trigonometric functions for $0 <\theta<2\pi$

$y=1-2sin\theta$

hi

sin Θ - amplitude 1 and -1

2sin Θ - amplitude 2 and -2

-2sin Θ - reflect the graph about the x-axis

1-2sin Θ - shift the graph up by 1 unit , the amplitude is now 3 and -1 .

Also , remember the domain .