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Find the values of the other five trigonometric functions in the following;

1. cos x = \(-\frac{3}{5}\), x lies in the third quadrant.

2. cot x = - \(\frac{5}{12}\), x lies in the second quadrant.

3. sin x =\(\frac{1}{4}\), x lies in the second quadrant.

1 Answer

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1. Given;

cos x = \(- \frac{3}{5}\)

sec x = \(\frac{-5}{3}\), sin x = \(-\frac{4}{5}\); cosec x = -\(\frac{5}{4}\)

tan x = \(\frac{4}{3};\) cot x = \(\frac{3}{4}\)

2. Given; 

cot x = - \(\frac{5}{12}\)

3. Given; 

sin x = \(\frac{1}{4}\)

cosec x = 4

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