Home
Class 12
MATHS
Solve: 4sin^(4)x + cos^(4)x=1...

Solve: `4sin^(4)x + cos^(4)x=1`

Text Solution

Verified by Experts

`x=npi +-1/2 alpha`, where `alpha = cos^(-1)1/5` and n=any integer.
Promotional Banner

Topper's Solved these Questions

  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Exercise (Multiple choice questions)|11 Videos
  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|18 Videos
  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (D comprehension Type)|7 Videos
  • IDENFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Comprehension Type )|6 Videos

Similar Questions

Explore conceptually related problems

The values of x of the equation 4sin^(4)x + cos^(4)x =1 are

int sin^(4)x cos^(4) x dx

Prove that, sin^(4) x + cos^(4) x = 1- 1/2 sin^(2) 2x

The correct value of the parameter t of the identity 2(sin ^(6)x + cos ^(6) x)+t (sin ^(4)x+ cos ^(4)x)=-1 is-

Prove that, sin^(6)x + cos^(6)x = 1-3/4 sin^(2) 2x.

Solve sin^4(x/3)+cos^4(x/3)>1/2

Solve: 4 sin x sin 2x sin 4x =sin3x.

int (dx)/(sin^(4)x+cos^(4)x)

The period of the function sin ^(4) x+ cos ^(4) x is -

int (sin x+cos x)/(sin^(4)x+cos^(4)x)dx