Home
Class 12
MATHS
It f and g be function defined by f(thet...

It f and g be function defined by `f(theta) = cos^2 theta and(theta) = tan^2 theta,` suppose `alpha and beta` satisfy `2 f(alpha) – g(beta) =1,`then value of `2 f(beta) – g(alpha)` is

Text Solution

Verified by Experts

The correct Answer is:
1
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)|19 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|3 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

It f and g be function defined by f(theta)=cos^(2)theta and (theta)=tan^(2)theta, suppose alpha and beta satisfy 2f(alpha)g(beta)=1, then value of 2f(beta)g(alpha) is

If cos (theta - alpha) = a, cos (theta - beta) = b , then the value of sin^(2) (alpha - beta) + 2ab cos (alpha - beta) is

If cos 3 theta = alpha cos theta + beta cos ^(3) theta, then (alpha, beta) =

If A=2sin^(2)theta-cos2 theta and A in[alpha,beta], then find the values of alpha and beta.

If cos (theta -alpha) =a, sin (theta - beta) =b, then cos ^(2) (alpha - beta) + 2 ab sin (alpha - beta) is equal to

let f(theta)=(tan theta)/(1+tan theta) and alpha+beta=3(pi)/(4) the value of 2f(alpha)f(beta) is equal to

let f(theta)=(tan theta)/(1+tan theta) and alpha+beta=3(pi)/(4) the value of 2f(alpha)f(beta) is equal to

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Integer Answer Type Questions)
  1. Find theta (in degree) satisfying the equation,tan 15^@ *tan 25^@* ta...

    Text Solution

    |

  2. Find the exact value of cosec10^@ + cosec50^@ - cosec70^@.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. If cos3 6^(@)+cot(7 1/2@)=sqrt(n1)+sqrt(n2)+sqrt(n3)+sqrt(n1)+sqrt(n5)...

    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 R satisfies (x+5)^2+(y-12)^2=(14)^2, then the minimum val...

    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 f(x)=x^4+4x^3+2x^2-4x+7, when x=cot(11pi)/8 is

    Text Solution

    |

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

    Text Solution

    |

  18. If sintheta+sin^2theta+sin^3theta=1 then value of cos^6theta-4cos^4the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |