Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsProperties of ITFMedium2 minQB

MathematicsMediumsingle choice

If $μ = tan^{- 1} (1 + cos α) + cot^{- 1} (1 + cos α)$ , with α excluding the source values $α = nπ + π /2$ , find sin μ.

Answer:

Solution:

The principal $tan^{- 1} an d cot^{- 1} o f$ the same real nonnegative argument add to $π /2$ , so sin $μ = 1 = sec^{2} α - tan^{2} α$ .

Stream:JEESubject:MathematicsTopic:Inverse Trigonometric FunctionsSubtopic:Properties of ITF

⏱ 2mℹ️ Source: QB

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