Match: P = number of integer k for which sin − 1 ( x 2 ) + tan − 1 ( x 2 ) = 2 k + 1 is solvable; Q = ∣ q − p ∣ if ∑ k ≥ 1 cot − 1 ( k 2 /8 ) = ( p / q ) π ; R = value of cos 2 y − sin θ under the s

Question

Match: P = number of integer k for which sin − 1 ( x 2 ) + tan − 1 ( x 2 ) = 2 k + 1 is solvable; Q = ∣ q − p ∣ if ∑ k ≥ 1 ​ cot − 1 ( k 2 /8 ) = ( p / q ) π ; R = value of cos 2 y − sin θ under the stated inverse-trig equation; S = least positive integer in the domain of sec − 1 (( 1 − x ) /2 ) .

TestHub · Accepted Answer

P = 1 , Q = 3 , R = 2 , S = 3 .

Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

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