RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 7 of Exercise 4.7

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7

Write each of the following in the simplest form:

Put x = a cosθ


tan–1


tan–1


tan–1


Rationalising it


tan–1


tan–1


tan–1


tan–1


Cos θ = 1 – 2 sin2 and sinθ =


1 – cosθ = 2 sin2


= tan–1


= tan–1


= tan–1(tan)


=


But θ = cos–1


The given equation simplification to cos–1 .


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