General Solution of Trigonometrical Equations

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #1

The general solution of `|cos x| = cos x - 2 sin x` is -
(a) `x = n\pi`, (b) `x = n\pi + \pi/4`, (c) `x = n\pi + (-1)^n (\pi/4)` where `n \in I`, (d) `x = (2n+1)\pi + \pi/4`
Ans: (d) `x = (2n+1)\pi + \pi/4`
SEE SOLUTION

Question No: #2

Find the general solution of `8^{1+|cos x|+cos^2x+|cos^3x|+\cdots \infty}=4^3`
Ans: `x = 2n\pi \pm \pi/3, 2n\pi \pm \frac{2\pi}{3}` where `n \in mathbb{Z}`
SEE SOLUTION