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  • Please Solve R.D.Sharma Class 12 Chapter 3 Inverse Trigonometric Functions Exercise Multiple Choice Questions Question 22 Maths Textbook Solution.

Please Solve R.D.Sharma Class 12 Chapter 3 Inverse Trigonometric Functions Exercise Multiple Choice Questions Question 22 Maths Textbook Solution.

Answers (1)

Answer:  \frac{\pi}{3}

Hint: \sin ^{-1}(\sin x)=x

Given:  \theta=\sin ^{-1}\left\{\sin \left(-600^{\circ}\right)\right\}

Solution:

Now, \theta=\sin ^{-1}\left\{\sin \left(-600^{\circ}\right)\right\}

            =\sin ^{-1}\left\{\sin \left(720^{\circ}-600^{\circ}\right)\right\}

            =\sin ^{-1}\left\{\sin \left(120^{\circ}\right)\right\}

            =\sin ^{-1}\left\{\sin \left(180^{\circ}-120^{\circ}\right)\right\}                                                        [\therefore \sin x=\sin (\pi-x)]

            =\sin ^{-1}\left\{\sin \left(60^{\circ}\right)\right\}

            \theta=60^{\circ}

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