Trigonometric Functions (Grade 10 NSC Matric Mathematics): Flashcards

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Trigonometric Functions
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Three main trigonometric functions

Sine, cosine, tangent

Range of y=sin⁡θy = \sin θ

[−1;1][-1; 1]

Period of sine and cosine functions

360°

Effect of parameter qq in y=asin⁡θ+qy = a \sin θ + q

Vertical shift up (q>0q > 0) or down (q<0q < 0)

Effect of parameter aa in y=asin⁡θ+qy = a \sin θ + q

Changes amplitude; if a<0a < 0, reflects about x-axis

Range of y=asin⁡θ+qy = a \sin θ + q when a>0a > 0

[−a+q;a+q][-a + q; a + q]

Period of tangent function

180°

Asymptotes of y=tan⁡θy = \tan θ

θ=90°θ = 90° and θ=270°θ = 270°

When tangent is undefined

Where cos⁡θ=0\cos θ = 0 (at 90° and 270°)

Amplitude sign

Always positive (use ∣a∣|a|)

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