Question on: JAMB Mathematics - 2011

In a right angled triangle, if tan (\theta) = (\frac{3}{4}). What is cos(\theta) - sin(\theta)?

A
\(\frac{2}{3}\)
B
\(\frac{3}{5}\)
C
\(\frac{1}{5}\)
D
\(\frac{4}{5}\)
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Correct Option: C

tan(\theta) = (\frac{3}{4})

from Pythagoras tippet, the hypotenus is T

i.e. 3, 4, 5.

then sin (\theta) = (\frac{3}{5}) and cos(\theta) = (\frac{4}{3})

cos(\theta) - sin(\theta)

(\frac{4}{5}) - (\frac{3}{5}) = (\frac{1}{5})

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