Periodic functions > Radians
123456Radians

Solutions to the exercises

Exercise 1
a

1 6 π , 1 9 π , 1 18 π , 1 1 2 π , 2 π , 1 19 36 π , 1 3 π .

b

90 ° , 60 ° , 135 ° , 180 π 57 ° , 180 ° , 180 ° , 1800 ° .

Exercise 2
a

f ( 5 6 π ) = 0,5 and 5 f ( 1 6 π ) = 2,5 . In the first case the angle of rotation increases, but the value of the sine stays between -1 and 1 . In the second case you compute the value of the sine and multiply it by 5 afterwards.

b

f ( 1 4 π ) = 1 2 2 and f ( - 1 4 π ) = - 1 2 2 . The corresponding points on the graph are each other's mirror image with respect to the origin.

c

Make a sketch.

d

Again, make a sketch.

e

Use congruent triangles.

Exercise 3
a

Make a drawing.

b

x 0,644 x 2,498 .

Exercise 4
a

Do this.

b

x = 1 1 6 π x = 1 5 6 π .

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