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| 1. |
If Q= sin^-1X + cos^-1X then the smallest interval in which Q lies |
| Answer» GIVEN 0≤x≤1⟹tan −1 x∈[tan −1 0,tan −1 1]⟹tan −1 x∈[0, 4π ]⟹−tan −1 x∈[− 4π ,0]θ=sin −1 x+cos −1 x−tan −1 x= 2π −tan −1 x (∵sin −1 x+cos −1 x= 2π )As −tan −1 x∈[− 4π ,0]⟹ 2π −tan −1 x∈[ 4π , 2π ]⟹ 4π ≤θ≤ 2πStep-by-step explanation:HOPE it helps :)Follow me Mark me the BRAINLIEST | |