Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Trigonometric functions - Basic graphing and interpretation.
Test Yourself 1.


 

Basic graphs 1. Sketch y = cos x for 0 ≤x≤ 360°.
  2. Sketch y = tan x for 0 ≤ x ≤ 360°.
  3. Sketch y = - sin x for 0 ≤ x ≤ 360°.
  4. Sketch y = 2 sin x for 0 ≤ x ≤ 360°.
  5. Sketch the curve y = -2 cos x for -180° ≤ x ≤ 180°.
  6. Sketch y = |cos x| for 0 ≤ x ≤ 360°.
  7. Sketch y = sec x for 0 ≤ x ≤ 360°.
  8. Sketch the curve y = cot x for 0° ≤ x ≤ 360°.
  9. Sketch the curve y = cosec x for -180° ≤ x ≤ 180°.
  10. Sketch the curve y = sec2 x for 0 ≤ x ≤ 360°.
interpretation.

11. Which of the following statements about the graph of
y = 2sin 4x is correct?

(a) The amplitude is 2 and the period is π/4.

(b) The amplitude is 2 and the period is π/2.

(c) The amplitude is 4 and the period is π/2.

(d) The amplitude is 4 and the period is π.

Answer:(b).