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Trigonometric Functions Assignment

1) Example of an equation giving the value of the Cosine function for an angle measure in

its domain:

1

cos(60°) =

2

The equation in the form of an inverse function:

1

arcos ( ) = 60°

2

Another example:

The equation is:

cos(90°) = 0

The equation in the form of an inverse function:

arcos(0) = 90°

2) Example of an equation of a trigonometric function with a phase shift of -45°:

𝑦 = cos(𝑥 − 45)

The graph of the function:

y= cos (x-45)

1

0.8

0.6

0.4

0.2

0

-360

-270

-180

-90

-0.2

0

-0.4

-0.6

-0.8

-1

cos (x-45)

90

180

270

360

The parent graph:

𝑦 = cos(𝑥)

y= cos(x)

1

0.8

0.6

0.4

0.2

0

-360

-270

-180

-90

-0.2

0

90

180

270

360

-0.4

-0.6

-0.8

-1

y= cos(x)

3) to find the average temperature and the maximum and minimum predicte...