Home
Class 10
MATHS
Prove the identity ("sin"theta+"cos"th...

Prove the identity
`("sin"theta+"cos"theta)("tan"theta+"cot"theta)="sec"theta+"cosec"theta`

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS -2014

    ICSE|Exercise SECTION- B|29 Videos
  • LOCI (LOCUS AND ITS CONSTRUCTIONS)

    ICSE|Exercise EXERCISE 16(B)|49 Videos
  • MATHEMATICS -2016

    ICSE|Exercise SECTION- B|30 Videos

Similar Questions

Explore conceptually related problems

Prove that (1+"cot"theta-"cosec"theta)(1+"tan"theta+"sec"theta)=2

Prove that sqrt("sec"^(2)theta+"cosec"^(2)theta)="tan"theta+"cot"theta

Prove that ("sin"theta-2"sin"^(3)theta)/(2"cos"^(3)theta-"cos"theta)="tan"theta

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

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

Prove the following identities: (tantheta-cottheta)/(sinthetacostheta)=sec^2theta-cos e c^2theta=tan^2theta-cot^2theta

Prove the identities: (1+cot theta - cosec theta) (1+ tan theta + sec theta)=2

Which of the following pairs may represent the eccentricities of two conjugate hyperbolas, for alpha in (0,pi//2) ? a. sin theta, cos theta b. tan theta, cot theta c. sec theta, "cosec"theta d. 1+sintheta,1+cos theta

Prove that (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta) = (sec theta cosec theta +1)

Prove the identity sec^4 theta - sec^2 theta = tan^4 theta + tan^2 theta

ICSE-MATHEMATICS -2014-SECTION- B
  1. Salman invests a sumof money in Rs 50 shares, paying 15% dividend quot...

    Text Solution

    |

  2. The suface area of a solid metallic sphere is 2464 cm^(2). It is melte...

    Text Solution

    |

  3. The surface area of a solid metallic sphere is 2464 cm^(2). It is melt...

    Text Solution

    |

  4. Calculate the mean of the distribution given below using the short cut...

    Text Solution

    |

  5. In the figure given below, diameter AB and chord CD of a circle meet a...

    Text Solution

    |

  6. Let A=[{:(,2,1),(,0,-2):}], B=[{:(,4,1),(,-3,-2):}] and C=[{:(,-3,2),(...

    Text Solution

    |

  7. The compound interest, calculated yearly, on a certain sum of money fo...

    Text Solution

    |

  8. Construct a DeltaABC with BC = 6.5 cm, AB = 5.5 cm, AC = 5 cm. Constru...

    Text Solution

    |

  9. The daily pocket expenses of 200 students in a school are given below ...

    Text Solution

    |

  10. If (x-9):(3x+6) is the duplicate ratio of 4:9, find the value of x usi...

    Text Solution

    |

  11. Solve the x using the quadratic formula. Write your answer correct to ...

    Text Solution

    |

  12. A page from the saving bank account of Priyanka is given below : If...

    Text Solution

    |

  13. A two digit positive number is such that the product of its digits is ...

    Text Solution

    |

  14. The marks obtained by 100 students in a Mathematics test are given bel...

    Text Solution

    |

  15. The marks obtained by 100 students in a Mathematics test are given bel...

    Text Solution

    |

  16. The marks obtained by 100 students in a Mathematics test are given bel...

    Text Solution

    |

  17. The marks obtained by 100 students in a Mathematics test are given bel...

    Text Solution

    |

  18. In the figure given below, O is the centre of the circle. AB and CD ar...

    Text Solution

    |

  19. Prove the identity ("sin"theta+"cos"theta)("tan"theta+"cot"theta)="s...

    Text Solution

    |

  20. An aeroplane at an altitude of 250 m observes the angle of depression ...

    Text Solution

    |