Inverse Trigonometric Functions Question 217
Question: If $ \tan (x+y)=33 $ and $ x={{\tan }^{-1}}3, $ then y will be
Options:
A) $ 0.3 $
B) $ {{\tan }^{-1}}(1.3) $
C) $ {{\tan }^{-1}}(0.3) $
D) $ {{\tan }^{-1}}( \frac{1}{18} ) $
Show Answer
Answer:
Correct Answer: C
Solution:
$ x+y={{\tan }^{-1}}33\Rightarrow y={{\tan }^{-1}}33-{{\tan }^{-1}}3 $
$ ={{\tan }^{-1}}\frac{33-3}{1+99}={{\tan }^{-1}}\frac{30}{100} $
Therefore $ y={{\tan }^{-1}}(0.3) $ .
BETA
