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 Answer: Option C
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})