Home
Class 10
MATHS
Using geometry prove that sec (90 - th...

Using geometry prove that
`sec (90 - theta) = cosec theta`.

Promotional Banner

Topper's Solved these Questions

  • COMPLEMENTARY ANGLES AND THEIR TRIGONOMETRIC RATIOS

    KALYANI PUBLICATION|Exercise EXAMPLE|5 Videos

  • COORDINATE GEOMETRY

    KALYANI PUBLICATION|Exercise EXAMPLE|16 Videos

Similar Questions

Explore conceptually related problems

Using geometry prove that sin (90 - theta) = cos theta .

Using geometry prove that tan (90- theta) = cot theta .

Evaluate sin theta sec (90 - theta) + cos theta cosec (90 - theta) .

If tan^2 theta=1-e^2 then prove that sec theta+tan^3 theta cosec theta=(2-e^2)^(3/2)

Find sec theta . .

If tan theta = a/b prove that (2 sec theta +1)/(cos theta +2) is sqrt(a^2+b^2)/b .

Evaluate (sin (90 - theta). cos (90 - theta))/(sin theta cos theta)

If sintheta + cosectheta= 2 , then prove that sin^100theta + cosec^100 theta = 2

Evaluate cos thetasin theta + cos thetacos (90 - theta) + {(sin theta - sin (90 - theta)}^2 .

Express sin theta , cos theta , cot theta in terms of sec theta .

KALYANI PUBLICATION-Complementary Angles and there Trigonamytry Ratios-EXERCISE
  1. Using geometry prove that sin (90 - theta) = cos theta.

    Text Solution

    |

  2. Using geometry prove that tan (90- theta) = cot theta.

    Text Solution

    |

  3. Using geometry prove that sec (90 - theta) = cosec theta.

    Text Solution

    |

  4. Evaluate (cos 54°)/ (sin 36°).

    Text Solution

    |

  5. Evaluate (sin 11°)/(cos 79°).

    Text Solution

    |

  6. Evaluate (sin (90 - theta). cos (90 - theta))/(sin theta cos theta)

    Text Solution

    |

  7. Evaluate tan1° tan 45° tan 89°.

    Text Solution

    |

  8. Evaluate sec 50" sin 40° + cos 40" cosec 50°.

    Text Solution

    |

  9. Evaluate sin theta sec (90 - theta) + cos theta cosec (90 - theta).

    Text Solution

    |

  10. Evaluate cos thetasin theta + cos thetacos (90 - theta) + {(sin thet...

    Text Solution

    |

  11. If sin 3 theta = cos (theta- 26°) where 3 theta and (theta -26°) are a...

    Text Solution

    |

  12. If cot 5 theta = tan 10 theta, then find the value of theta.

    Text Solution

    |

  13. If cos (20° + theta) = sin 30°, then find the value of theta.

    Text Solution

    |

  14. If cos 9 theta = sin theta and 9 theta < 90° then find the value of ta...

    Text Solution

    |

  15. If tan 2 theta = cot (theta - 18°), then the value of theta.

    Text Solution

    |

  16. Prove that: tan 5° tan 85° tan 30° tan 65° tan 25° = 1/sqrt 3.

    Text Solution

    |

  17. Prove that: tan 4° tan 43° tan 47° tan 86° = 1.

    Text Solution

    |

  18. Prove that: tan 35° tan 40° tan 45° tan 50° tan 55° = 1.

    Text Solution

    |

  19. Prove that: cosec (65° + theta) - sec (25° - theta) - tan (55° - the...

    Text Solution

    |

  20. Prove that: (2 sin 68°)/(cos 22°)-( 2 cot 15°)/( 5 tan 75°)- 3( tan ...

    Text Solution

    |