JEE Mains · Maths · STD 12 - 2. inverse trigonometric function
\(\cos ^{-1}(\cos (-5))+\sin ^{-1}(\sin (6))-\tan ^{-1}(\tan (12))\) is equal to : (The inverse trigonometric functions take the principal values)
- A \(3 \pi-11\)
- B \(4 \pi-9\)
- C \(4 \pi-11\)
- D \(3 \pi+1\)
Answer & Solution
Correct Answer
(C) \(4 \pi-11\)
Step-by-step Solution
Detailed explanation
\(\cos ^{-1}(\cos (-5))+\sin ^{-1}(\sin (6))-\tan ^{-1}(\tan (12))\) \(\Rightarrow(2 \pi-5)+(6-2 \pi)-(12-4 \pi)\) \(\Rightarrow 4 \pi-11\)
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