Home
Class 12
MATHS
Prove that : "cosec" alpha+ "cosec" ((...

Prove that :
`"cosec" alpha+ "cosec" ((2pi)/(3)+alpha) +"cosec" ((pi)/(3)+alpha)= 2 "cosec" 3alpha`

Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2026|23 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Prove that, "cosec" (2pi)/7 + "cosec" ( 3pi)/7 = "cosec" pi/7

Prove that, "cosec" (theta + phi)=("cosec" theta "cosec" phi)/(cot theta + cot phi)

If p and q are the lengths of the perpendiculars from the origin to the straight lines x "sec" alpha + y " cosec" alpha = a " and " x "cos" alpha-y " sin" alpha = a "cos" 2alpha, " then prove that 4p^(2) + q^(2) = a^(2).

Prove that (1)/("cosec"alpha-cot alpha)-(1)/(sin alpha)=(1)/(sin alpha)-(1)/("cosec"alpha+cotalpha) .

1/(cos alpha + cos 3 alpha)+ 1/(cos alpha + cos 5 alpha)+ 1/(cos alpha + cos 7 alpha) +....+ 1/(cos alpha +cos(2n+1) alpha) = 1/2 "cosec" alpha[tan (n+1) alpha - tan alpha ]

Prove that sqrt3 "cosec" 20^@-sec20^@=4

Simplify: (cos(2pi + alpha)"cosec" (pi - alpha) tan (pi/2 + alpha))/("sec" (pi/2 + alpha) sin ((3pi)/2 - alpha) cot (2pi - alpha))

cot^(3)theta + 6 "cosec"2theta - 8 "cosec"^(3)2theta=0

Prove that sinalpha+sin(alpha+(2pi)/3)+sin(alpha+(4pi)/3)=0 .

(cotalpha+"cosec"alpha-1)/(cotalpha-"cosec"alpha+1)=(1+cosalpha)/(sinalpha)

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. Determine the value of k for which x-1 is a factor of (x^2 +1)+(x+k)do...

    Text Solution

    |

  2. Prove that : sec alpha+ sec (120^(@)+ alpha) sec (120^(@)-alpha)=-3...

    Text Solution

    |

  3. Prove that : "cosec" alpha+ "cosec" ((2pi)/(3)+alpha) +"cosec" ((pi)...

    Text Solution

    |

  4. find the differtiation of tan(a^x)

    Text Solution

    |

  5. If alpha, beta, gamma are positive acute angles, prove that sin alpha+...

    Text Solution

    |

  6. find the differtiation of sin(e^x)

    Text Solution

    |

  7. If cos alpha+ cos beta= a and sin alpha+ sin beta =b, then show that s...

    Text Solution

    |

  8. Find "sin" (A)/(2) and "cos" (A)/(2) in terms of "tan"( A)/(4).

    Text Solution

    |

  9. If tan theta (cos alpha+ sin beta), then show that one value of "tan" ...

    Text Solution

    |

  10. If sin (pi cot theta)= cos (pi tan theta) and n is an integer, then...

    Text Solution

    |

  11. Prove that the maximum value of (cos alpha(1)) (cos alpha(2))...( cos ...

    Text Solution

    |

  12. Show that sin^(2) 12^(@)+ sin ^(2)21^(@)+ sin ^(2)39^(@)+ sin^(2)48^(@...

    Text Solution

    |

  13. If alpha+ beta=(pi)/(2) and beta+ gamma= alpha then prove that tan alp...

    Text Solution

    |

  14. theta and theta(2) are two distinct values of theta[ 0 le theta(1) 2p...

    Text Solution

    |

  15. Find the values of alpha and beta[ 0 lt alpha, beta lt (pi)/(2)] satis...

    Text Solution

    |

  16. Find all the values of alpha for which the equation sin ^(4) x+ cos^(4...

    Text Solution

    |

  17. In sin alpha+ sin beta=(1)/(2) and cos alpha+ cos beta =(5)/(4), find ...

    Text Solution

    |

  18. A 12 cm long wire is bent to form a triangle with one of its angles as...

    Text Solution

    |

  19. If (cos alpha+ cos beta+ cos gamma)/( cos (alpha+ beta+ gamma))=(sin a...

    Text Solution

    |

  20. If a tan x+ b tan y+ c tan z=m, then show that the minimum value of ta...

    Text Solution

    |