In a right angled triangle if tan theta frac 3 ... - JAMB Mathematics 2011 Question
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
\(\frac{4}{5}\)
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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