Home
Class 11
MATHS
Prove that : (cosecθ−cotθ)^2 = (1-cosθ)...

Prove that : `(cosecθ−cotθ)^2` = `(1-cosθ)/(1+cosθ)` ​

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Prove that (1+secA)/secA=sin^2A/(1-cosA) .

Prove that, log_(2)2=1

If a^2+b^2+c^2=1, then prove that |[a^2 +(b^2+c^2)cosθ, ab(1−cosθ), ac(1−cosθ)],[ba(1−cosθ),b^2+(c^2+a^2)cosθ,bc(1−cosθ)],[ca(1−cosθ),cb(1−cosθ),c^2+(a^2+b^2)cosθ]| independent of a,b,c?

Prove that sqrt((1+costheta)/(1-costheta))+sqrt((1-cos theta)/(1+cos theta))=2 " cosec"theta.

Prove that (r_1+r_2)/(1+cosC)=2R

Prove that ( 1+ sec A)/( sec A) =(sin ^(2) A)/( 1-cos A)

Prove that cos^(-1) {sqrt((1 + x)/(2))} = (cos^(-1) x)/(2) , -1 lt x lt 1

Prove the following identities: (cottheta+cosectheta)^2=(1+costheta)/(1-costheta)

Prove that: cosec(tan^(-1)("cos"(cot^(-1)("sec"(sin^(-1)a)))))=sqrt(3-a^2), where a in [0,1]

Prove that, (1+tanA)^2 + (1-tanA)^2 = 2sec^2A

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. cosθ/ (1-tanθ) + sinθ/ (1−cotθ) is equals to ​

    Text Solution

    |

  2. If x/(costheta)=y/(cos(theta-(2pi)/3))=z/(cos(theta+(2pi)/3)) then x+y...

    Text Solution

    |

  3. Prove that : (cosecθ−cotθ)^2 = (1-cosθ)/(1+cosθ) ​

    Text Solution

    |

  4. Let (sin(theta-alpha))/("sin"(theta-beta))=a/b a n d(cos(theta-alpha)...

    Text Solution

    |

  5. (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=?

    Text Solution

    |

  6. The value of expression (2(sin1^0+sin2^0+sin3^0+...+sin89^0))/(2(cos1...

    Text Solution

    |

  7. If sintheta1sintheta2-costheta1costheta2+1=0, then the value of tan((t...

    Text Solution

    |

  8. on a cartesian plane, draw a line segment XY parallel to x-axis at a d...

    Text Solution

    |

  9. In triangle A B C , prove that sin(A/2)+sin(B/2)+sin(C/2)lt=3/2dot H...

    Text Solution

    |

  10. If x1 and x2 are two distinct roots of the equation acosx+bsinx=c , ...

    Text Solution

    |

  11. (sqrt2-sinalpha-cosalpha)/(sinalpha-cosalpha) is equal to (a)sec(alp...

    Text Solution

    |

  12. If (tan(alpha+beta-gamma))/("tan"(alpha-beta+gamma))=(tangamma)/(tanbe...

    Text Solution

    |

  13. If sin(y+z-x),sin(z+x-y),"sin"(x+y-z) are in A.P., then t a n x ,tany...

    Text Solution

    |

  14. Suppose A and B are two angles such that A , B in (0,pi) and satisfy s...

    Text Solution

    |

  15. If "cot"(alpha+beta)=0, then "sin"(alpha+2beta) can be

    Text Solution

    |

  16. The absolute value of the expression tan(pi/(16))+tan((5pi)/(16))+tan(...

    Text Solution

    |

  17. Prove that: (sin2theta)/(1+cos2theta)=tantheta

    Text Solution

    |

  18. If A and B are acute positive angles satisfying the equations 3 sin^(2...

    Text Solution

    |

  19. The roots of the equation 4x^2-2sqrt(5)x+1=0,a r e

    Text Solution

    |

  20. If x , y in R satisfies (x+5)^2+(y-12)^2=(14)^2, then the minimum v...

    Text Solution

    |