Everything Maths Grade 10

b)

Ry

9

30 ◦

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1.2FN9 2a.2FNB 2b.2FNC 2c.2FND 2d.2FNF 2e.2FNG 2f.2FNH 3a.2FNJ

3b.2FNK 3c.2FNM 3d.2FNN 4.2FNP 5.2FNQ 6.2FNR 7a.2FNS 7b.2FNT

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5.4 Reciprocal ratios EMA3Q

Each of the three trigonometric ratios has a reciprocal. The reciprocals: cosecant (cosec), secant (sec) and
cotangent (cot), are defined as follows:

cosec=

1

sin

sec=

1

cos

cot=

1

tan

We can also define these reciprocals for any right-angled triangle:

cosec=

hypotenuse

opposite

sec=

hypotenuse

adjacent

cot=

adjacent

opposite

Note that:

sincosec= 1

cossec= 1

tancot= 1

VISIT:

This video covers the three reciprocal ratios forsin,cosandtan.

See video:2FNVatwww.everythingmaths.co.za

NOTE:

You may see cosecant abbreviated ascsc.

Chapter 5. Trigonometry 115