RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 6 of MCQ

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6

Choose the correct answer

If , then x =


We are given that,

…(i)


We need to find the value of x.


By using the property of inverse trigonometry,



We can find the value of sin-1 x in the terms of cos-1 x.



Substituting the value of sin-1 x in equation (i),



Simplifying it further,








Multiplying cosine on both sides of the equation,



Using property of inverse trigonometry,


cos[cos-1 x] = x



And we know the value,



Therefore,


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