Home
Class 12
MATHS
If sinα.sinβ−cosα.cosβ+1=0 then show tha...

If `sinα.sinβ`−`cosα.cosβ`+`1`=`0` then show that `1`+`cotα.tanβ`=`0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

Show that x/((1+x)) 0

If (a+1/a)^2=3 and ane0 then show that a^3+1/a^3=0

Show that tan1^0tan2^0tan89^0=1

If (a-ib)/(a+ib)= (1+i)/(1-i) , then show that a+b=0

Let f defined on [0, 1] be twice differentiable such that |f " (x)| <=1 for x in [0,1] ,if f(0)=f(1) then show that |f'(x)|<1 for all x in [0,1] .

Show that Lt_(xto0-)(|x|)/x=-1

Show that Lt_(xto0+)(|x|)/x=1

If cosα+cosβ= 3/2 ​ and sinα+sinβ= 1/2 ​ and θ is the arithmetic mean of α and β, then sin2θ+cos2θ is equal to

If cosα+cosβ= 3/2 ​ and sinα+sinβ= 1/2 ​ and θ is the arithmetic mean of α and β, then sin2θ+cos2θ is equal to

cosα+cosβ= 3/2 ​ and sinα+sinβ= 1/2 ​ and θ is the arithmetic mean of α and β, then sin2θ+cos2θ is equal to Yes No

OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. If sin x+sin^(2)x=1, " then " cos^(8)x+2 cos^(6)x+cos^(4)x=

    Text Solution

    |

  2. If a=b cos((2pi)/3)= c cos((4pi)/3), then write the value of a b+b c+c...

    Text Solution

    |

  3. If sinα.sinβ−cosα.cosβ+1=0 then show that 1+cotα.tanβ=0

    Text Solution

    |

  4. If sintheta(1)+sintheta(2)+sintheta(3)=3, then cos theta(1)+cos theta(...

    Text Solution

    |

  5. If A lies in the third quadrant and 3 tan A-4 = 0, then 5 sin 2A + 3si...

    Text Solution

    |

  6. tan 5x tan3x tan2x=

    Text Solution

    |

  7. The value of sin12^(@)sin24^(@)sin48^(@)sin84^(@), is

    Text Solution

    |

  8. If A+B+C=(3pi)/2, t h e ncos2A+cos2B+cos2C is equal to 1-4cos Acos Bc...

    Text Solution

    |

  9. If A+C=B,then tanA tanBtanC=

    Text Solution

    |

  10. If tan(cotx)=cot(tanx), then sin2x is equal to

    Text Solution

    |

  11. If tan theta=a/b then b cos 2theta+asin 2theta=

    Text Solution

    |

  12. If A=130^(@)and x=sinA+cosA, then

    Text Solution

    |

  13. The value of the expression |vecaxxvecb|^(2)+(veca.vecb)^(2) is….. .

    Text Solution

    |

  14. If A=sin^(2)theta+cos^(4)theta, then find all real values of theta.

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. Which of the following statement is incorrect

    Text Solution

    |

  17. The value of sin(pi/14)sin((3pi)/14)sin((5pi)/14) is

    Text Solution

    |

  18. If sintheta+cosectheta=2, then "sin"^(2)theta+"cosec"^(2)theta is equa...

    Text Solution

    |

  19. If tantheta=(1)/(2) and tanphi=(1)/(3), then the value of theta+phi i...

    Text Solution

    |

  20. If sinx+sin^2x=1, then find the value of cos^(12)x +3cos^(10)x + 3 cos...

    Text Solution

    |