RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 43 of Very short answer

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43

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

Write the value of .


Given tan-1 {2 sin (2 cos-1 √3/2)}


= tan-1 {2 sin (2 cos-1 cos π/6)}


= tan-1 {2 sin (2 × π/6)}


= tan-1 {2 sin (π/3)}


= tan-1 {2 × √3/2}


= tan-1 {√3}


= π/3


tan-1 {2 sin (2 cos-1 √3/2)} = π/3


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