Functions (Grade 11 NSC Matric Mathematics): Flashcards

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The Sine Function
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Period of y=sin⁡θy = \sin \theta

360°

Amplitude of y=sin⁡θy = \sin \theta

1

Range of y=sin⁡θy = \sin \theta

[-1; 1]

Maximum turning point of y=sin⁡θy = \sin \theta

(90°; 1)

Minimum turning point of y=sin⁡θy = \sin \theta

(270°; -1)

Period formula for y=sin⁡kθy = \sin k\theta

360°∣k∣\frac{360°}{|k|}

Effect of q>0q > 0 in y=sin⁡θ+qy = \sin \theta + q

Graph shifts upward by qq units

Phase shift when p>0p > 0 in y=sin⁡(θ+p)y = \sin(\theta + p)

Left by pp degrees

Phase shift when p<0p < 0 in y=sin⁡(θ+p)y = \sin(\theta + p)

Right by ∣p∣|p| degrees

Value of sin⁡90°\sin 90°

1

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