Home
Class 11
MATHS
sin^6A+cos^6A+3sin^2A cos^2A=\ a. 0 b....

`sin^6A+cos^6A+3sin^2A cos^2A=\ ` a. `0` b. `1` c. `2` d. `3`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|120 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

Prove that : sin^(6)A+cos^(6)A+3sin^(2)Acos^(2)A=1

cos^6A-sin^6A=cos2A(1-1/4sin^2 2A)

(sin^2 3A)/(sin^2A)-(cos^2 3A)/(cos^2A)=

(sin^2 3A)/(sin^2A)-(cos^2 3A)/(cos^2A)=

sin 163^0cos 347^0+sin 73^0sin 167^0= a. 1//2 b. 1 c. 0 d. none of these

int ( sin^(6) x + cos ^(6) x + 3 sin ^(2) x cos ^(2) x ) dx is equal to

Prove that;- sin^6θ+cos ^6θ=1−3sin^2θcos ^2θ

Show that : 2 (sin^6 x + cos^6 x) -3 (sin^4 x + cos^4 x) + 1 =0 .

If cosA+cos^2A=1 , then sin^2A+sin^4A= (a) -1 (b) 0 (c) 1 (d) None of these

The value of the expression sin^6 theta + cos^6 theta + 3 sin^2 theta. cos^2 theta equals

RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If 3sintheta+5costheta=5, then write the value of 5sin theta-3costheta...

    Text Solution

    |

  2. If t a ntheta=x-1/(4x) , then s e ctheta-t a ntheta is equal to (a) -2...

    Text Solution

    |

  3. If pi/2 < theta < (3pi)/2 then sqrt ((1-sin theta)/(1+sin theta))= a. ...

    Text Solution

    |

  4. If pi lt theta lt 2pi then sqrt ((1+cos theta)/(1-cos theta))= a. co...

    Text Solution

    |

  5. If sec theta= x+1/(4x) then sec theta+ tan theta= (a) x, 1/(x), (b) 2x...

    Text Solution

    |

  6. If pi/2ltthetaltpi, then sqrt((1-sintheta)/(1+sintheta))+sqrt((1+sinth...

    Text Solution

    |

  7. If tanθ+secθ=√3,0 <θ<π, then θ is equal to a. (5pi)/6 b. (2pi)/3 c. pi...

    Text Solution

    |

  8. If t a ntheta=-1/(sqrt(5)) and theta lies in the IV quadrant, then the...

    Text Solution

    |

  9. sin^6A+cos^6A+3sin^2A cos^2A=\ a. 0 b. 1 c. 2 d. 3

    Text Solution

    |

  10. If cosec theta- cot theta=1/2, 0 < theta < pi/2 then cos theta= a.5/3,...

    Text Solution

    |

  11. If theta is an acute angle and t a ntheta=1/(sqrt(7)) , then the value...

    Text Solution

    |

  12. sin^(2)5^@+sin^(2)10^@+sin^(2)15^@ +.......+sin^(2)85^@ + sin^(2)90^@=

    Text Solution

    |

  13. If t a n A+cot A=4, then tan^4A+cot^4A is equal to 110 b. 191 c. 80 d....

    Text Solution

    |

  14. If xsin45^0cos^2 60^0=(tan^2 60^0cos e c\ 30^0)/(s e c 45^0cot^2 30^0)...

    Text Solution

    |

  15. If cos e ctheta+cottheta=(11)/2 , then t a ntheta= (21)/(22) (b) (15...

    Text Solution

    |

  16. If cosec theta- cot theta=1/2, 0 < theta < pi/2 then cos theta= a.5/3,...

    Text Solution

    |

  17. If s e ctheta+t a ntheta=k ,\ costheta= a.(k^2+1)/(2k) b. (2k)/(k^2+1...

    Text Solution

    |

  18. Which of the following is incorrect? a. sintheta=-1//5 b. costheta=1 c...

    Text Solution

    |

  19. The value of cos1^@. cos2^@. cos 3^@....cos 179^@= a. 1/sqrt2, b.0, c....

    Text Solution

    |

  20. The value of "tan"1^0tan2^0t a n3^0........t a n 89^0 is a. 0 b. 1 c. ...

    Text Solution

    |