Home
Class 12
MATHS
3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^...

`3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^(6)x+cos^(6)x)=.....`

Text Solution

Verified by Experts

The correct Answer is:
13
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|10 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|9 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|10 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

The value of 3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^(6)xcos^(6)x) is

If y= (sinx+cosx)+(sin4x+cos4x)^(2) , then :

int(5cosx-4sinx+1/cos^2x)dx

Prove that 3(sinx-cosx)^4+4(sin^6x+cos^6x)+6(sinx+cosx)^2=13

If sinx+cosx=a , then (i) sin^(6)x+cos^(6)x=..... (ii) abs(sinx-cosx)=.....

If (sinx-cosx)= 0 then find (sin^3 x- cos^3x)

Evaluate the following integrals : (i) int(cosx)/(2sinx+3cosx)dx (ii) int(2sinx+cosx)/(7sinx-5cosx)dx ,br. (iii) int(5sinx+6)/(2cosx+sinx+3)dx

Find the sum to n terms of the series (sinx)/(cosx+cos2x)+(sin2x)/(cosx+cos4x)+(sin3x)/(cosx+cos6x)+…

Show that, sin3x + cos3x = (cosx-sinx)(1+4sinx cosx)

Evaluate: (i) int(sinx+2cosx)/(2sinx+cosx)\ dx (ii) int(cos4x-cos2x)/(sin4x-sin2x)\ dx