Trigonometric EquationEasy
Question
If 2 ≤ a < 3, then the value of cos-1 cos [a]+ cosec-1 cosec[a]+ cot-1 cot[a] , (where [.] denotes greatest integer less than equal to x) is equal to
Options
A.2 - π
B.2 + π
C.π
D.6
Solution
∵ 2 ≤ a < 3 ⇒ [a] = 2
∴ cos-1cos2 + cosec-1cosec2 + cot-1cot2
= 2 + π - 2 + 2 = π + 2
∴ cos-1cos2 + cosec-1cosec2 + cot-1cot2
= 2 + π - 2 + 2 = π + 2
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