Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsT inverse T propertyMedium2 minQB

MathematicsMediumsingle choice

Evaluate $sin^{- 1} (sin (22 π /7)) + cos^{- 1} (cos (5 π /3)) + tan^{- 1} (tan (5 π /7)) + sin^{- 1} (cos 2)$ .

Answer:

Solution:

Principal values: - $π /7$ , $π /3$ , -2 $π /7$ , and $π /2 - 2$ . Adding gives 17 $π /42 - 2$ .

Stream:JEESubject:MathematicsTopic:Inverse Trigonometric FunctionsSubtopic:T inverse T property

⏱ 2mℹ️ Source: QB

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