Solving Equations (Grade 12 NSC Matric Mathematics): Quizzes

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Solving Equations
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What is the period of the sine and cosine functions?

360°360°

What is the period of the tangent function?

180°180°

What is the general solution for tan⁡θ=x\tan θ = x?

θ=tan⁡−1x+k×180°θ = \tan^{-1} x + k × 180°

In which quadrant are all trigonometric ratios positive?

First quadrant (0°0° to 90°90°)

According to the CAST diagram, in which quadrant is only sine positive?

Second quadrant (90°90° to 180°180°)

In which quadrant is only cosine positive?

Fourth quadrant (270°270° to 360°360°)

What does k∈Zk ∈ Z mean in general solution formulas?

kk is any integer

What is one form of the general solution for sin⁡θ=x\sin θ = x?

θ=sin⁡−1x+k×360°θ = \sin^{-1} x + k × 360°

Why should you avoid dividing both sides by a trigonometric expression?

It could equal zero & you'd lose solutions

What is the first step in the 6-step method for solving trigonometric equations?

Simplify using algebra & trig identities

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