Home
Class 10
MATHS
cos72^(@)-sin18^(@)=...

`cos72^(@)-sin18^(@)=` ________

Text Solution

Verified by Experts

0 , since `cos72^(@)-sin18^(@)`
`=cos72^(@)-sin(90^(@)-72^(@))`
`=cos72^(@)-cos72^(@)=0`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|28 Videos
  • TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|66 Videos
  • VARIATION

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|59 Videos

Similar Questions

Explore conceptually related problems

The value of (sin12^(@)xxcos18^(@)xxsec78^(@)xxcosec72^(@)) is _______

Find the value: sin 78^(@) - sin18^(@) + sin 30^(@) - sin42^(@)

Prove that cos306^(@) + cos234^(@) + cos162^(@) + cos18^(@) = 0

Prove that cos32^(@) sin20^(@) + cos144^(@) cos2^(@) + sin68^(@) cos56^(@) = 0

Find the value of cos 200^(@)sin 160^(@) + sin (-340^@) cos (-380^@) .

(cos 29^(@) + sin 29^(@))/(cos29^(@) - sin 29^(@))=

The value of (cos2^@ + sin2^@)/(cos2^@-sin2^@) is ___

Prove: (iv) cos 306^(@) + cos 234^(@) + cos 162^(@) + cos 18^(@) = 0 .

The values of sin72^(@)andcos108^(@) are equal.

Prove that sin 80^(@) cos20^(@) + sin45^(@) cos145^(@)+sin 55^(@) cos245^(@) = 0

CALCUTTA BOOK HOUSE-TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES -EXERCISE
  1. cos72^(@)-sin18^(@)=

    Text Solution

    |

  2. If A, B, C are the angles of a triangle then tan ((B+C)/2)=

    Text Solution

    |

  3. (sin21^(@)30')/(cos68^(@)30')

    Text Solution

    |

  4. (sin52^(@)+cos38^(@))/(sin38^(@)+cos52^(@))

    Text Solution

    |

  5. If sec9theta=cosec9theta, then the value of theta is equal to

    Text Solution

    |

  6. If the sum of any two acute angles be 180^(@), then they are called cm...

    Text Solution

    |

  7. If sin(theta+36^(@))=costheta then the value of theta" is "27^(@)

    Text Solution

    |

  8. The complementary angle of 90^(@) is

    Text Solution

    |

  9. If in DeltaABC,angleC=90^(@) then 1+tan^(2)A

    Text Solution

    |

  10. If theta=0^(@) then the trigonometrical ratio tangent of complementary...

    Text Solution

    |

  11. Find the value of cos1^(@)cos2^(@)cos3^(@).............cos180^(@)

    Text Solution

    |

  12. If 0^(@)angletheta angle20^(@), then find the value of theta when sin^...

    Text Solution

    |

  13. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2), then then the value of (x...

    Text Solution

    |

  14. If X, Y, Z are the angles of a DeltaXYZ then prove that cos^(2)""(X)/...

    Text Solution

    |

  15. If x=acos(90^(@)-theta)andy=bcot(90^(@)-theta), then prove that (a^(2)...

    Text Solution

    |

  16. Prove that (1+sec22^(@)+cot68^(@))(1-cosec22^(@)+tan68^(@))=2

    Text Solution

    |

  17. If angleA+angleB=90^(@) then prove that 1+(cotA)/(cotB)=cosec^(2)A

    Text Solution

    |

  18. If alpha+beta=90^(@), then find the value of cotbeta+cosbeta-(cosbeta)...

    Text Solution

    |

  19. Find the value of (5sin75^(@)sin77^(@)+2cos13^(@)cos15^(@))/(cos15^(@)...

    Text Solution

    |

  20. If alpha+beta=90^(@) then prove that cosec^(2)alpha+cosec^(2)beta=cose...

    Text Solution

    |

  21. Prove that sec^(2)11^(@)-(1)/(tan^(2)79^(@))=1.

    Text Solution

    |