Home
Class 12
MATHS
Solve the equation cot((theta )/(2))-"co...

Solve the equation `cot((theta )/(2))-"cosec"((theta)/2)=cot theta `

Text Solution

Verified by Experts

The correct Answer is:
`theta =4 n pi pm (2pi)/3`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

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

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Trigonometric Equations and Inequations Exercise 6 : Matching Type Questions|1 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

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

Similar Questions

Explore conceptually related problems

Number of solutions of the equation cot( theta ) + cot( theta +(pi)/(3))+ cos ( theta -(pi)/(3))+ cot( 3 theta ) =0 , where theta in ( 0,(pi)/(2))

Solve the equation : sin theta- cos theta=- sqrt2 .

Prove the following identity : (cot theta+ cosec theta -1)/(cot theta- cosec theta +1)= (1+ cos theta)/(sin theta) .

Solve cot theta + "cosec" theta =sqrt(3)

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

Find the most general value of theta , which satisfies both the equations : cot theta= -1/sqrt3, cosec theta= -2/sqrt3 .

Solve the following trigonometric equation : cosec theta= cot theta+sqrt3 .

Prove the following identity : cot^2 theta- cos^2 theta= cot^2 theta cos^2 theta .

Prove that : (cosec theta)/(cosec theta-1)+ (cosec theta)/ (cosec theta+1)= 2 sec^2 theta .

Solve the following trigonometric equation : cos theta+ cos 3theta= cos 2 theta+ cos 4 theta .

ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Subjective Type Questions)
  1. Find the number of solution of the equations |cos x |=[x], (where ...

    Text Solution

    |

  2. Find the number of solution of the equations x+ 2 tan x =(pi)/(2),...

    Text Solution

    |

  3. The equation sin^4x+cos^4x+sin2x+alpha=0 is solvable for (a) -5/2lt=a...

    Text Solution

    |

  4. If 32tan^3theta=2cos^2alpha-3 cosalpha and 3cos2theta =1 then the gene...

    Text Solution

    |

  5. Solve the following system of simultaneous equation for x a n d ydot ...

    Text Solution

    |

  6. Find all number x , y that satisfy the equation (sin^2 x +(1)/( sin^(...

    Text Solution

    |

  7. Find dy/dx if 3x-5y=secx

    Text Solution

    |

  8. Solve for x and y , 1-2x-x^(2)=tan^(2)(x+y)+cot^(2)(x+y).

    Text Solution

    |

  9. Solve the system of equations tan^2 x + cot^(2) x = 2cos^(2)y co...

    Text Solution

    |

  10. Find all the pairs of x,y that satisfy the equation cosx+cosy+cos(x+y)...

    Text Solution

    |

  11. Solve the equation cot((theta )/(2))-"cosec"((theta)/2)=cot theta

    Text Solution

    |

  12. Find the general solution of 1+sin^3x + cos^(3)x=(3)/(2)sin 2x

    Text Solution

    |

  13. Solve (log(sin x)2)(log(sin^(2)x)a)=-1 stating any condition on a' tha...

    Text Solution

    |

  14. Cosider the equation int(0)^(x) (t^(2)-8t+13)dt= x sin (a//x) where ...

    Text Solution

    |

  15. If tanx=b/a, find the value of (acos2x+bsin2x).

    Text Solution

    |

  16. Find all number of pairs x,y that satisfy the equation tan^(4) x + tan...

    Text Solution

    |

  17. Determine all value of 'a' for which the equation cos^(4) x-(a+2) cos...

    Text Solution

    |

  18. For x in (-pi, pi) find the value of x for which the given equation (s...

    Text Solution

    |

  19. Show that the equation , sec theta + "cosec" theta = c has two roots...

    Text Solution

    |

  20. Solve the equation ( cos x - sin x )(2 tan x +(1)/( cos x ))+2 =0

    Text Solution

    |