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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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


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),


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