Home
Class 12
MATHS
Prove the following identities: (cotth...

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

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|1 Videos

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Multiple Answers Type)|4 Videos

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

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

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • VECTOR

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION|18 Videos

Similar Questions

Explore conceptually related problems

Prove the following identities: sqrt((cosectheta-1)/(cosec+1))=(1-sintheta)/(costheta)

Prove the following identities: (cosec theta-sintheta)^2+(sectheta-costheta)^2-(tantheta-cottheta)^2=1

Prove the following identities: (1+secA+tanA)(1-cosecA+cotA)=2

Prove the following identities: (1+sintheta)/(1-sintheta)=(sectheta+tantheta)^2

(1+sintheta-costheta)/(1+sintheta+costheta) =

Prove that (sintheta+cosectheta)^2+(costheta+sectheta)^2ge9 .

If sin^2theta_1+sin^2theta_2+sin^2theta_3=0, then which of the following is not the possible value of costheta_1+costheta_2+costheta_3? (a) 3 (b) -3 (c) -1 (d) -2

Prove that sqrt((1-costheta)/(1+cos theta))=cosectheta-cottheta .

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

If sectheta=sqrt2 and (3pi)/2ltthetalt2pi . Then the value of (1+tantheta+cosectheta)/(1+cottheta-cosectheta) is

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES-EXERCISE 2
  1. Prove the following identities: (cosphi)/(1+sinphi)+(1+sinphi)/(cos ...

    Text Solution

    |

  2. Prove the following identities: (cosec theta-sintheta)^2+(sectheta-c...

    Text Solution

    |

  3. Prove the following identities: (cottheta+cosectheta)^2=(1+costheta)...

    Text Solution

    |

  4. Prove the following identities: (1+sintheta)/(1-sintheta)=(sectheta+...

    Text Solution

    |

  5. Prove the following identities: (sinalpha+cosecalpha)^2+(cosalpha+se...

    Text Solution

    |

  6. Prove the following identities: (1+secA+tanA)(1-cosecA+cotA)=2

    Text Solution

    |

  7. prove: ((sin0^@+sin60^@)(cos60^@+cot45^@))/((cot60^@+tan30^@)(cosec30^...

    Text Solution

    |

  8. prove: cos^2 ""60^@,cos^2 ""45^@,cos^2 ""30^@ are in A.P

    Text Solution

    |

  9. prove: tan(pi/3),tan(pi/4),tan(pi/6) are in G.P

    Text Solution

    |

  10. prove: 2cos^2(pi/3)+3/4sec^2(pi/4)+4sin^2(pi/6)=cot^2(pi/6)

    Text Solution

    |

  11. The angle A of the triangle ABC is obtuse, if sec(B+C)=cosec (B-C)=2,...

    Text Solution

    |

  12. If theta is a positive acute angle and tan theta=3/4, find sin theta...

    Text Solution

    |

  13. If theta is a positive acute angle and sec theta =(m^2+1)/(2m) find ...

    Text Solution

    |

  14. If theta is a positive acute angle and cos theta=(15)/(17) , find th...

    Text Solution

    |

  15. If A and B are positive acute angles and sinA =3/5,cosB=(15)/(17) , fi...

    Text Solution

    |

  16. If tantheta =a/b, find the value of (bcostheta-asintheta)/(b cos theta...

    Text Solution

    |

  17. If cos theta +sec theta=sqrt(3), show that, cos^3theta+sec^3theta=0 .

    Text Solution

    |

  18. Express 1+4cosec^2alphacot^2alpha in the form of a perfect square.

    Text Solution

    |

  19. If 3cos alpha-4sinalpha=5, show that, 3sinalpha+4cosalpha=0 .

    Text Solution

    |

  20. If sinalpha=x and tan alpha=y, prove that, 1/x^2-1/y^2=1.

    Text Solution

    |