RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 4 of Exercise 4.13

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4

Prove that: cos–1 4/5+cos–1 12/3=cos–1 33/65

Given:-


Take


LHS



We know that, Formula



Thus,


=



=


=


=


= RHS


So,



Hence Proved


Chapter Exercises

Exercise 4.1
Exercise 4.2
Exercise 4.3
Exercise 4.4
Exercise 4.5
Exercise 4.6
Exercise 4.7
Exercise 4.8
Exercise 4.9
Exercise 4.10
Exercise 4.11
Exercise 4.12
Exercise 4.13
Exercise 4.14
Very short answer
MCQ

More Exercise Questions

1

If cos–1 x/2 + cos–1y/3 = a, then prove that 9x2–12xy cos a + 4y2 = 36 sin2 a.
2

Solve the equation: cos–1 a/x–cos–1 b/x =cos–1 1/a
3

Solve: cos–1 √3x+cos–1x= π/2
4

Prove that: cos–1 4/5+cos–1 12/3=cos–1 33/65

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