KCET · Maths · Inverse Trigonometric Functions
\(\sec ^2\left(\tan ^{-1} 2\right)+\operatorname{cosec}^2\left(\cot ^{-1} 3\right)=\)
- A \(1\)
- B \(5\)
- C \(15\)
- D \(10\)
Answer & Solution
Correct Answer
(C) \(15\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & =1+\tan ^2\left(\tan ^{-1} 2\right)+1+\cot ^2\left(\cot ^{-1} 3\right) \\ & =1+4+1+9=15\end{aligned}\)
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