Book: RD Sharma - Mathematics (Volume 1)
Chapter: 4. Inverse Trigonometric Functions
Subject: Maths - Class 12th
Q. No. 3 of Exercise 4.11
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3
Solve the following equations for x:
Given:- 
Take
We know that, Formula
Thus,
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 40 – 8x2 = 158x
⇒ 8x2 + 158x – 40 = 0
⇒ 4x2 + 79x – 20 = 0
⇒ 4x2 + 80x – x – 20 = 0
⇒ 4x(x + 20) – 1(x + 20) = 0
⇒ (4x – 1)(x + 20) = 0
⇒ 4x – 1 = 0 or x + 20 = 0
⇒ 
Since,
x > 0
So,
is the root of the given equation
Therefore,
