COMEDK 2024 Shift 2 Paper

Evaluate: Let's break down the evaluation step by step:
1. Simplify the expressions:
‌cot−1(−‌

3

√3

)=cot−1(−√3)
‌ sec−1(−‌

2

√2

)= sec−1(−√2)
2. Use the properties of inverse trigonometric functions:
‌cosec−1(−1)=−‌

π

2

‌tan−1(1)=‌

π

4

3. Substitute the simplified values back into the expression:
4. Simplify the expression:
Therefore, the answer is Option D:
‌

π

3