Book: RD Sharma - Mathematics (Volume 1)
Chapter: 4. Inverse Trigonometric Functions
Subject: Maths - Class 12th
Q. No. 3 of Exercise 4.11
Listen NCERT Audio Books to boost your productivity and retention power by 2X.
3
Solve the following equations for x:
Given:- 
Take
LHS
We know that, Formula
Thus,
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 62x = 8 – 8x2+ 8
⇒ 4x2 + 62x – 16 = 0
⇒ 6x2 + 31x – 8 = 0
⇒ 4x(x + 8) – 1(x + 8) = 0
⇒ (4x – 1)(x + 8) = 0
⇒ 6x + 1 = 0 or x – 1 = 0
⇒ 
Since,
So,
is the root of the given equation
Therefore,
