Inverse Trigonometric Functions Question 34
Question: The value of $ {{\cos }^{-1}}(\cos 12)-{{\sin }^{-1}}(\sin 14) $ is
Options:
A) $ 8\pi -26 $
B) - 2
C) $ 4\pi +2 $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
The value of $ {{\cos }^{-1}}(\cos 12)-{{\sin }^{-1}}(\sin 14) = {{\cos }^{-1}}(cos(4\pi−12))−{{\sin }^{-1}}(−sin(4\pi−14))$
$(∵sin(−θ)=−sinθ)=4\pi−12−14+4\pi=8\pi−26$
BETA
