Trigonometry (Grade 11 NSC Matric Mathematics): Flashcards

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Trigonometric Equations
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Definition of trigonometric equations

Equations containing trig functions like sin, cos, or tan

What is a reference angle?

Positive acute angle between 0°0° and 90°90°

Quadrants where sine is positive

Quadrants I and II

Quadrants where cosine is positive

Quadrants I and IV

Quadrants where tangent is positive

Quadrants I and III

Period of sine and cosine

360°360°

Period of tangent

180°180°

Reduction formula: second quadrant

θ=180°−reference angle\theta = 180° - \text{reference angle}

Reduction formula: third quadrant

θ=180°+reference angle\theta = 180° + \text{reference angle}

Two methods for quadratic trig equations

Factoring and substitution

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