Defining Ratios in the Cartesian Plane (Grade 10 NSC Matric Mathematics): Quizzes

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Defining Ratios in the Cartesian Plane
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For point P(x,y)(x,y) in the Cartesian plane, what is sin⁡θ\sin θ?

yr\frac{y}{r}

For point P(x,y)(x,y) in the Cartesian plane, what is cos⁡θ\cos θ?

xr\frac{x}{r}

For point P(x,y)(x,y) in the Cartesian plane, what is tan⁡θ\tan θ?

yx\frac{y}{x}

What is the reciprocal ratio sec⁡θ\sec θ equal to?

rx\frac{r}{x}

In the Cartesian plane, what is true about radius rr?

rr is always positive

In Quadrant II (90° to 180°), which trigonometric ratios are positive?

Sin and cosec

In Quadrant III (180° to 270°), which trigonometric ratios are positive?

Tan and cot

What is the exact value of sin⁡90°\sin 90°?

11

What is the exact value of tan⁡90°\tan 90°?

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For point P(3,−4)(3,-4), what is the value of radius rr?

55

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