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Question

Mathematics Question on Probability

The value of cot−1⁡9+cos⁡ec−1414

A

(A) 0

B

(B) π4

C

(C) tan-1 2

D

(D) π2

Answer

(B) π4

Explanation

Solution

Explanation:
cot−1⁡9+cosec−1414=cot−1⁡9+sin−1⁡441=cot−1⁡9+tan−1⁡45=tan−1⁡(19)+tan−1⁡(45)=tan−1⁡|19+451−19×45|=tan−1⁡(5+3645−4)=tan−1⁡(4141)=tan−1⁡(1)=π4