Revision (Grade 12 NSC Matric Mathematics): Quizzes

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In a right triangle, what does sin⁡θ\sin θ equal?

oppositehypotenuse\frac{\text{opposite}}{\text{hypotenuse}}

According to the CAST diagram, which trig function is positive in Quadrant II (90° to 180°)?

Sine only

What is the exact value of sin⁡30°\sin 30°?

12\frac{1}{2}

Using reduction formulae, cos⁡(180°−θ)\cos(180° - θ) equals:

−cos⁡θ-\cos θ

Which trig function is described as an even function?

Cosine

What does sin⁡(90°−θ)\sin(90° - θ) equal?

cos⁡θ\cos θ

What is the Pythagorean identity?

sin⁡2θ+cos⁡2θ=1\sin^2 θ + \cos^2 θ = 1

What does tan⁡θ\tan θ equal in terms of sine and cosine?

sin⁡θcos⁡θ\frac{\sin θ}{\cos θ}

At which angles is tan⁡θ\tan θ undefined?

90°90° and 270°270°

Using reduction formulae, tan⁡(180°+θ)\tan(180° + θ) equals:

tan⁡θ\tan θ

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