Inverse Trigonometric Functions Question 55
Question: Let $ a,b,c>0 $ and $ x={{\tan }^{-1}}\sqrt{\frac{a}{bc}(a+b+c),} $ $ y={{\tan }^{-1}}\sqrt{\frac{b}{ca}(a+b+c)} $ and $ z={{\tan }^{-1}}\sqrt{\frac{c}{ab}(a+b+c)} $ , then
Options:
A) $ \Sigma \tan x\tan y=1 $
B) $ \Sigma \cot x\cot y=1 $
C) $ \Sigma x=\frac{\pi }{2} $
D) None of these
Show Answer
Answer:
Correct Answer: B
$ x+y+z=\pi $
BETA
