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PAGE: 228SET: ExercisesPROBLEM: 37
Please look in your text book for this problem Statement

(a)

The trigonometric functions are and .

The first trigonometric function is .

Find the period :

One cycle :

.

Graph of the trigonometric function is :

graph of trigonometric equation y = tanx

The second trigonometric function is .

At , .

Find the period : One cycle :

.

Graph of the trigonometric functions and is :graph of trigonometric equation y = tanx, y = tan(x + pi/6)

Observe the above graph :

The graph  is shifted units to the left of the graph of .

(b)

The trigonometric functions are and .

The first trigonometric function is .

Find the period :

One cycle :

.

Graph of the trigonometric function is :

graph of trigonometric equation y = tanx

The second trigonometric function is .

 

At , .

Find the period : One cycle :

.

Graph of the trigonometric functions and is :

graph of trigonometric equation y = tanx, y = tan(x + pi/6)

Observe the above graph :

The graph  is shifted units to the right of the graph of .

(a)

Graph of the trigonometric functions and is :graph of trigonometric equation y = tanx, y = tan(x + pi/6)

(b)

Graph of the trigonometric functions and is :

graph of trigonometric equation y = tanx, y = tan(x + pi/6)



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