RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 27 of MCQ

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27

Choose the correct answer

In a ΔABC, If C is a right angle, then


We are given that,

∆ABC is a right-angled triangle at C.


Let the sides of the ∆ABC be


AC = b


BC = a


AB = c


By Pythagoras theorem, where C is the right angle,


(AC)2 + (BC)2 = (AB)2


⇒ b2 + a2 = c2


Or,


a2 + b2 = c2 …(i)


Using the property of inverse trigonometry,



Replacing A by and B by ,






Substituting the value of a2 + b2 from equation (i),



=tan-1


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

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