Home
Class 11
MATHS
3(sintheta-costheta)^4+6(sintheta+costhe...

`3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta+cos^6theta)` is equal to

A

`13-4cos^(6)theta`

B

`13-4cos^(4)theta+2sin^(2)cos^(2)theta`

C

`13-4cos^(2)theta+6cos^(4)theta`

D

`13-4cos^(2)theta+6sin^(2)thetacos^(2)theta`

Text Solution

Verified by Experts

1
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JA)|16 Videos
  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

3(sintheta-costheta)^(4)+6(sintheta+costheta)^(2)+4(sin^(6)theta+cos^(6)theta)=?

Prove that: 3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta+cos^6theta)-13=0.

4(sin^(6)theta+cos^(6)theta)-6(sin^(4)theta+cos^(4)theta) is equal to

If 4 tantheta=3, then ((4sintheta-costheta)/(4 sintheta+costheta)) is equal to

int(cos2theta)/((sintheta+costheta)^(2))d""theta is equal to

Prove that : (sintheta-costheta)/(sintheta+costheta)+(sintheta+costheta)/(sintheta-costheta)=(2)/(2sin^(2)theta-1)

If 5tantheta=4, then (5sintheta-3costheta)/(5sintheta+2costheta) is equal to 0 (b) 1 (c) 1/6 (d) 6

If int(sintheta-costheta)/((sintheta+costheta)sqrt(sinthetacostheta+sin^(2)thetacos^(2)theta))d theta = "cosec"^(_1)(f(theta))+C , then

if sintheta-costheta=0, then the value of (sin^4theta+cos^4theta)

(sintheta)/(1+costheta) + (1+costheta)/(sintheta) = 2 cosec theta