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Chapter 2 प्रतिलोम त्रिकोणमितीय फलन (Inverse Trigonometric Functions) Ex 2.2 Solutions

Question - 1 : - निम्नलिखित को सिद्ध कीजिए–

Answer - 1 : -

माना sin-1x = θ ∴ sin θ = x
पुनः sin 3θ = 3 sin3 θ – 4 sin० θ
⇒ sin 3θ = 3x – 4x3
⇒ 3θ = sin-1(3x– 4x3)
∴ 3sin-1x =sin-1(3x – 4x3) इति सिद्धम्

Question - 2 : -

Answer - 2 : -

माना cos-1 x = θ ∴ cosθ = x
∴ cos 3θ = 4cos3θ– 3 cos θ
⇒ cos 3θ = 4x3 –3x
⇒ 3θ = cos-1(4x3 –3x)
∴ 3cos-1x =cos-1(4x3 – 3x) इति सिद्धम्

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निम्नलिखित फलनों को सरलतम रूप में लिखिए

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