Home
Class 10
MATHS
If cos (67^@30') = x and cosec (22^@30')...

If `cos (67^@30') = x` and `cosec (22^@30') = y` then which is true?

A

`x^2 + y^2 =1`

B

`x^2 - y^2 = 1`

C

x = y

D

xy =1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Trigonometric Rations and Trigonometric Identities

    UNITED BOOK HOUSE|Exercise Exercise |31 Videos
  • Trigonometry : Concept of Measurement of Angle

    UNITED BOOK HOUSE|Exercise Exercise |24 Videos

Similar Questions

Explore conceptually related problems

Fill in the blanks If cos (67^@30)xxcosec(22^@30)=tan theta , then the minimum positive value of theta is_____.

If x=sin t and y=cos p t , then which of the following is true ?

If sec ^(-1) x ="cosec" ^(-1) y . State which of the following is the value of ( cos ^(-1) ""(1)/(x)+cos ^(-1) ""(1)/(y )) ?

If x cos 60^(@)+y cos0^(@)=3 and 4x sin 30^(@) -y cot 45^(@)=2, then what is the value of x ?

If x sin 60^@ cos^@ 30^@ = (tan^2 45^@ sec 60^@)/("cosec 60"^@) then find the value of x.

If sec^(-1)x = cosec^(-1)y state which of the following is the value of (cos^(-1)(1/x) + cos^(-1)(1/y)) ?

If x tan 30^(@)+y cot 60^(@) =0 and 2x-y tan 45^(@)=1 , then calculate the values of x and y.

If x tan 30^@ + y cot 60^@ = 0,2x-y tan 45^@ = 1 , then find the value of x and y.

Find the values of sin 30^(@) ,cos 30 ^(@) ,tan 30 ^(@) ,cosec 30^(@) ,sec 30 ^(@) and cot 30^(@) by using the ratio concepts .

UNITED BOOK HOUSE-Trigonometric Ratios of Complementry Angle-Exercise
  1. Sin 2A = 2sin A is true when A =

    Text Solution

    |

  2. It A + B = 90^@, then (tan A tan B + tan A cot B)/(sin A sec B) - (sin...

    Text Solution

    |

  3. If tan A = cot B, then prove that A + B = 90°.

    Text Solution

    |

  4. (sin^2 22^@ + sin^2 68^@ + cot^2 68^@) equals

    Text Solution

    |

  5. (2 tan 30^@)/(1 - tan^2 30^@) is equal to

    Text Solution

    |

  6. If theta and (2theta - 45^@) are acute angles such that cosec theta co...

    Text Solution

    |

  7. A, B and C are interior angles of a triangle ABC, then sin ((B + C)/(2...

    Text Solution

    |

  8. The value of tan 10^@ tan 15^@ 75^@ tan 80^@ is

    Text Solution

    |

  9. If 5theta and 4theta are acute angles satisfying sin 5theta = cos 4the...

    Text Solution

    |

  10. [sin^2 1^@ + sin^2 2^@ +sin^2 3^@ + ……………….. + sin^2 87^@ + sin^2 88^@...

    Text Solution

    |

  11. (sin^2 1^@ + sin^2 3^@ + sin^2 5^@ + ………………… + sin^2 85^@ + sin^2 87^@...

    Text Solution

    |

  12. The value of (cos(90^@ - theta)sec(90^@ - theta) tan theta)/(cosec(90^...

    Text Solution

    |

  13. The value of (tan 47^@ + cot 27^@)/(tan 43^@ + cot 63^@) is

    Text Solution

    |

  14. (1 + sec 20^@ + cot 70^@) (1 - cosec 20^@ + tan 70^@) equals

    Text Solution

    |

  15. alpha, beta are positive acute angle and sec^2 alpha - cot^2 (beta/2) ...

    Text Solution

    |

  16. ABCD is a cyclic quadrilateral and tan (A/2) tan (C/2) + tan (B/2) tan...

    Text Solution

    |

  17. If cos (67^@30') = x and cosec (22^@30') = y then which is true?

    Text Solution

    |

  18. If cosec 39^@ = x, the value of (1)/(cosec^2 51^@) + sin^2 39^@ + tan^...

    Text Solution

    |

  19. sin^2 5^@+sin^2 10^@ + sin^2 15^@+.........+sin^2 85^@+sin^2 90^@ equa...

    Text Solution

    |

  20. If A, B and C are three angles of a triangle, then the incorrect relat...

    Text Solution

    |