Home
Class 12
MATHS
If sintheta+sin^2theta+sin^3theta=1, the...

If `sintheta+sin^2theta+sin^3theta=1,` then prove that `cos^6theta-4cos^4theta+8cos^2theta=4`

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|22 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise 5 : Matching Type Questions|1 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

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

Similar Questions

Explore conceptually related problems

IF sintheta+sin^2theta=1 prove that cos^2theta+cos^4theta=1 .

sin^2theta+cos^2theta=1 .

Prove that : cos3 theta=4 cos^3 theta-3 cos theta .

Prove that sin^4theta-cos^4theta=sin^2theta-cos^2theta .

Prove that sin^6theta+cos^6theta=1-3sin^2thetacos^2theta .

Prove that : sin 2 theta= 2sin theta cos theta .

Prove that sin^4theta+cos^4theta=1-2sin^2thetacos^2theta .

Prove the following : sin theta+ sin 3 theta+ sin 5 theta+sin 7 theta=4 cos theta cos2 theta sin4 theta .

Prove that (sec^2theta-sin^2theta)/tan^2theta=cosec^2theta-cos^2theta .

If sin theta_1 + sintheta_2 + sin theta_3 = 3 then find the value of cos theta_1 + cos theta_2 + cos theta_3.

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Integer Answer Type Questions)
  1. Find the exact value of the expression tan(pi/20)-tan((3pi)/20)+tan((5...

    Text Solution

    |

  2. Find theta (in degree) satisfying the equation,tan 15^@ *tan 25^@* ta...

    Text Solution

    |

  3. The value of "cosec"10^(@)+"cosec"50^(@)-"cosec"70^(@) is

    Text Solution

    |

  4. If cos 5 alpha=cos^5 alpha, where alpha in (0,pi/2) then find the poss...

    Text Solution

    |

  5. tan^2 ((pi)/16) + tan^2 ((2pi)/16) + tan^2((3pi)/16).........+tan^2((7...

    Text Solution

    |

  6. Compute the square of the value of the expression (4+sec 20^@)/(cosec ...

    Text Solution

    |

  7. In DeltaABC, if (sinA)/(3)=(cosB)/(3)=(tanC)/(2), then the value of ...

    Text Solution

    |

  8. It f and g be function defined by f(theta) = cos^2 theta and(theta) = ...

    Text Solution

    |

  9. If sum of the series 1+x log(|(1-sinx)/(cos x)|)((1+sin x)/(cos x))^(1...

    Text Solution

    |

  10. If 9x/costheta+5y/sintheta=56 and 9xsintheta/cos^2theta-5ycostheta/sin...

    Text Solution

    |

  11. The angle A of the DeltaABC is obtuse. x = 2635 - tan B tan C, if [x]...

    Text Solution

    |

  12. If sin^(2)A=x and underset(r=1)overset(4)Pi sin (r A)=ax^(2)+bx^(3)+cx...

    Text Solution

    |

  13. If x,y in Rsatisfies (x+5)^(2)+(y-12)^(2)=(14)^(2) , then the minimum ...

    Text Solution

    |

  14. The least degree of a polynomial with integer coefficient whose one of...

    Text Solution

    |

  15. If A+B+C=180^(@), (sin 2A+sin 2B+sin2C)/(sinA+sinB+sinC)=k sin. (A)/(2...

    Text Solution

    |

  16. The value of p(x) = 5x -4x^2 + 3 for x = 1 is :

    Text Solution

    |

  17. In any DeltaABC, then minimum value of 2020sum (sqrt((sinA)))/((sqr...

    Text Solution

    |

  18. If sintheta+sin^2theta+sin^3theta=1, then prove that cos^6theta-4cos^4...

    Text Solution

    |

  19. 16(costheta-cos(pi/8))(costheta-cos((3pi)/8))(costheta-cos((5pi)/8))(c...

    Text Solution

    |

  20. If (1)/(sin20^(@)) + (1)/(sqrt(3)cos20^(@)) = 2kcos40^(@), then 18k^(4...

    Text Solution

    |