In a right angled triangle, if tan \(\theta\) = \(\frac{3}{4}\). What is cos\(\theta\) - sin\(\theta\)?...
MATHEMATICS
JAMB 2011
In a right angled triangle, if tan \(\theta\) = \(\frac{3}{4}\). What is cos\(\theta\) - sin\(\theta\)?
- A. 2/3
- B. 3/5
- C. 1/5
- D. 4/5
Correct Answer: C. 1/5
Explanation
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\(\theta\) = \(\frac{4}{5}\)
cos\(\theta\) - sin\(\theta\)
\(\frac{4}{5}\) - \(\frac{3}{5}\) = \(\frac{1}{5}\)
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