Write down the amplitude, frequency and period of the function y = 2 sin 4 x , for 0 ° ≤ x ≤ 360 ° , then sketch the graph for the domain.

Given that, the trigonometric function is y = 2 sin 4 x , for 0 ° ≤ x ≤ 360 ° Amplitude = a = 2 Frequency = f = 4 Period = 360 ° f = 360 ° 4 = 90 ° x 0 22 . 5 ° 45 ° 67 . 5 ° 90 ° y 0 1 0 - 1 0 Hence, the graph is sketched and its x - coordinates are labelled.

Write down the amplitude, frequency and period of the function y = 2 sin 4 x , for 0 ° ≤ x ≤ 360 ° , then sketch the graph for the domain.

Given that, the trigonometric function is y = 2 sin 4 x , for 0 ° ≤ x ≤ 360 ° Amplitude = a = 2 Frequency = f = 4 Period = 360 ° f = 360 ° 4 = 90 ° x 0 22 . 5 ° 45 ° 67 . 5 ° 90 ° y 0 1 0 - 1 0 Hence, the graph is sketched and its x - coordinates are labelled.

Write down the amplitude, frequency and period of the function y = 4 cos 3 x , for 0 ° ≤ x ≤ 360 ° then sketch the graph for the domain. Check your graphs on a GDC or graphing software.

Given that, y = 4 cos 3 x , for 0 ° ≤ x ≤ 360 ° Amplitude = a = 4 Frequency = f = 3 Period = 360 f = 360 4 = 120 at x = 0 , y = 4 × cos 3 × 0 = 0 , at x = 30 , y = 4 cos 120 = 0 , at x = 60 , y = 4 cos 180 = - 4 , at x = 90 , y = 4 cos 270 = 0 and at x = 120 , y = 4 cos 360 = 4 . x 0 30 60 90 120 y 4 0 - 4 0 4 The graph can be drawn with the help of given point as follows,

Write down the amplitude, frequency and period of the function y = 1 3 sin x 3 , for 0 ° ≤ x ≤ 1080 ° , then sketch the graph for the domain. Check your graphs on a GDC or graphing software.

Given that, y = 1 3 sin x 3 , for 0 ° ≤ x ≤ 1080 ° Amplitude = a = 1 3 frequency = f = 1 3 period = p = 360 f = 360 1 3 = 1080 at x = 0 ° , y = 0 , at x = 270 ° , y = 1 3 sin 270 3 = 1 3 at x = 540 ° , y = 1 3 sin 540 3 = 0 , at x = 810 ° , y = 1 3 sin 810 3 = - 1 3 at x = 1080 ° , y = 1 3 sin 1080 3 = 0 x 0 ° 270 ° 540 ° 810 ° 1080 ° y 0 1 3 0 1 3 0

Write down the amplitude, frequency and period of the function y = 0 . 7 cos x 4 , for 0 ° ≤ x ⩽ 1460 then sketch the graph for the domain. Check your graphs on a GDC or graphing software.

Given that, y = 0 . 7 cos x 4 , for 0 ° ≤ x ⩽ 1460 Amplitude = a = 0 . 7 Frequency = f = 1 4 Period = 360 f = 360 1 4 = 1140 x 0 360 720 1080 1140 y 0 . 7 0 - 0 . 7 0 0 . 7 We have to draw the graph from given point in above table,