C3 Trigonometry - 1 - Secant, Cosecant, Cotangent 1. Sec x = , cos x 0 2. Cosec x = , sin x 0 3. Cot x = , tan x 0 = , sin x 0 On your calculator, you will have to use sin, cos and tan keys, followed by the reciprocal key . However, to find exact values for the 'special' angles, follow the following examples. Examples Find the exact value of: 1 (i) sec 60 (ii) cosec 60 (iii) cot 30 (iv) cosec 45 2. (i) cosec (ii) sec (iii) cot Solution With calculaor in degrees 1. (i) Press cos to get 0.5 then press 1/x to get 2 /home/website/convert/temp/convert_html/ 546a9ca8b4af9fe5268b4824/document.doc 1
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C3 Trigonometry - 1 -
Secant, Cosecant, Cotangent
1. Sec x = , cos x 0
2. Cosec x = , sin x 0
3. Cot x = , tan x 0
= , sin x 0
On your calculator, you will have to use sin, cos and tan keys, followed by the
reciprocal key . However, to find exact values for the 'special'
NB: 3sin x + 2cos x can also be expressed in the form R cos ( ), but it is usually more convenient to choose the form which produces the terms in the right order with the correct sign.
i.e
Inverse Trig Functions
For to exist then must be a one to one function.
If Is not 1-to-1 over its whole domain then can exist
provided we restrict the domain of
The functions and are not 1-to-1 over their whole domain.