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  • Please Solve RD Sharma Class 12 Chapter Inverse Trigonometric Function Exercise 3.1 Question 3 Subquestion (ii) Maths Textbook Solution

Please Solve RD Sharma Class 12 Chapter Inverse Trigonometric Function Exercise 3.1 Question 3 Subquestion (ii) Maths Textbook Solution

Answers (1)

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Answer:
\left [ -1,1 \right ]
Hint:
The\: domain \: o\! f \sin^{-1}x \: is \left [ -1,1 \right ] and\: the\: domain\: o\! f \sin x\: is \: R .
Given:
f\! \left ( x \right )= \sin^{-1}x+\sin x
Explanation:
W\! hen \, we\, f\! ind\, the\, domain\, o\! f \, the \, f\! unction\, which \, is \, f\! urther\, the\, sum \, o\! f \, two\, di\! f\! f\! erent \, f\! unctions\, then\, we\, take\, the\, intersection \, o\! f \, thei\, r respective\, domains.  \left [-1,1 \right ]\cap R
= \left [ -1,1 \right ]\cap \left ( -\infty ,\infty \right )
= \left [ -1,1 \right ]
Hence, the domain of  \sin^{-1}x+\sin x  is  \left [ -1,1 \right ].

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