JEE Mains · Maths · STD 12 - 2. inverse trigonometric function
Let the inverse trigonometric functions take principal values. The number of real solutions of the equation \(2 \sin ^{-1} x+3 \cos ^{-1} x=\frac{2 \pi}{5}\), is .........
- A \(0\)
- B \(5\)
- C \(6\)
- D \(8\)
Answer & Solution
Correct Answer
(A) \(0\)
Step-by-step Solution
Detailed explanation
\( 2 \sin ^{-1} x+3 \cos ^{-1} x=\frac{2 \pi}{5}\) \( \Rightarrow \quad \pi+\cos ^{-1} x=\frac{2 \pi}{5}\) \( \Rightarrow \quad \cos ^{-1} x=\frac{-3 \pi}{5}\) Not possible Ans. \(0\)
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