Home
Class 11
MATHS
If sin^2 theta+3cos theta=2 then cos^3 t...

If `sin^2 theta+3cos theta=2` then `cos^3 theta+sec^3 theta` is

A

1

B

4

C

9

D

18

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos
  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    PATHFINDER|Exercise QUESTIONBANK|25 Videos

Similar Questions

Explore conceptually related problems

If cos theta + sin theta = sqrt2 cos theta , then cos theta - sin theta is___

If sin2 theta = cos 3 theta then theta =

If sin theta + cos theta = m and sin ^(3) theta + cos ^(3) theta =n, state which of the following is true-

If 0 lt theta lt pi/2 and sin 2 theta = cos 3 theta, then the value of sin theta is-

If (sin theta+cos theta)/(sin theta- cos theta) = 3/2 then cos theta =

if xsin^3theta+ycos^3theta =sin theta cos theta and x sin theta -y cos theta =0 prove that x^2+y^2=1

If cos theta+sin theta = sqrt2 cos theta , then show cos theta-sin theta = sqrt2 sin theta .

If sin theta+sin^2 theta=1 then prove that cos^12 theta +3 cos^10 theta+3cos^8 theta+cos^6 theta-1=0

Prove that, 64cos^(3) theta sin^(4) theta = cos 7 theta - cos 5 theta - 3 cos 3theta+3 cos theta

PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. The sum of the series underset(n=1)sum sin((nipi)/720) is

    Text Solution

    |

  2. The minimum value of 2^(sin x) + 2^(cos x) is

    Text Solution

    |

  3. cos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)

    Text Solution

    |

  4. The expression tanA(1-cotA)+cotA/(1-tanA) can be written as

    Text Solution

    |

  5. For 0leP, Qle(pi/2)if sinP+cosQ=2 then the value of tan((P+Q)/2) is eq...

    Text Solution

    |

  6. Let f(theta)=(1+sin^2 theta)(2-sin^2 theta) then for all values

    Text Solution

    |

  7. The maximum and minimum values of cos^6 theta +sin^6 theta are respect...

    Text Solution

    |

  8. The value of cos^2 75^@ +cos^2 45^@ +cos^2 15^@- cos^2 30^@-cos^2 60^@...

    Text Solution

    |

  9. If sin^2 theta+3cos theta=2 then cos^3 theta+sec^3 theta is

    Text Solution

    |

  10. (cosec(2pi+theta)cos(2pi+theta)tan(pi/2+theta))/(sec(pi/2+theta)costhe...

    Text Solution

    |

  11. In a DeltaPQR if 3sinP+4cosQ=6 and 4sinQ+3cosP=1 then the angle R is e...

    Text Solution

    |

  12. The positive integral value of n gt 3 satisfying the equation 1/(sin(p...

    Text Solution

    |

  13. If A=sin^2theta+cos^4theta then for all real values of theta

    Text Solution

    |

  14. If sintheta=(2t)/(1+t^2) and theta lies in the second quadrant then co...

    Text Solution

    |

  15. The number of solutions of 2sinx+cosx=3 is

    Text Solution

    |

  16. Let tanalpha=a/(a+1) and tan beta=1/(2a+1) then alpha+beta is

    Text Solution

    |

  17. If theta+phi=pi/4 then (1+tan theta)(1+tan phi) is equal to

    Text Solution

    |

  18. If sin theta+cos theta=0 and 0gt theta gt phi then theta

    Text Solution

    |

  19. The value of cos15^@-sin15^@ is

    Text Solution

    |

  20. The period of the function f(x)=cos4x+tan3x is

    Text Solution

    |