0

Guest

Courses New

Find the general solution of cos4x+6=7cos2x and also find the sum of all the solution in [0,3pi].

Find the general solution of cos4x+6=7cos2x and also find the sum of all the solution in [0,3pi].

Grade:11

1 Answers

Arun
25757 Points
5 years ago
put the formula of cos4x = 2cos22x−1
now the equation will be
2cos22x−7cos2x+5 = 0
by factorising,
(2cos2x−5)(cos2x−1)= 0
cos2x can never be 5/2 hence this is neglected
now for cos2x=1
2x = 2n\pi
hence x= n\pi
thus in [0,3\pi], solution will be 0, \pi, 2\pi, 3\pi.
and sum will be 0+\pi+2\pi+3\pi = 6\pi

Think You Can Provide A Better Answer ?

Other Related Questions on Trigonometry

View all Questions »

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More