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:

Assume x = a sinθ


= tan–1


= tan–1


= tan–1


= tan–1


= tan–1


Cos θ = cos2 – sin2 and sinθ = ,cos2 + sin2 = 1


= tan–1


= tan–1


= tan–1


= tan–1(tan)


=


But θ = sin–1


The given equation simplification to sin–1 .


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