Home
Class 10
MATHS
Prove that: (i) sin35 sin55-cos35 cos5...

Prove that: (i) `sin35 sin55-cos35 cos55=0` `(ii) (cos70)/(sin20)+(cos59)/(sin31)-8sin^2 30=0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

Prove that: sin 40^0+sin 20^0=cos 10^0

Prove that: sin 23^0+sin 37^0=cos7^0

Prove that : (sin3A+sin A)sin A+(cos3A-cos A)cos A=0

Prove that: \ (sin3A+sin A)sin A+(cos3A-cos A)cos A=0

Prove that: \ sin 50^0+sin 10^0=cos 20^0

Prove that: (sin 3 x +sin x) sin x + (cos 3x - cos x) cos x = 0

Evaluate : (i) 3 cos 80^(@) "cosec 10"^(@) + 2 sin 59^(@) sec 31^(@) (ii) (cos 70^(@))/(sin 20^(@)) + (cos 59^(@))/(sin 31^(@)) - 8 sin^(2) 30^(@) (iii) "cosec" (65^(@) + A) - sec(25^(@) - A)

Prove that: sin 80^0-cos 70^0=cos 50^0

Evaluate : (cos 70^(@))/(sin 20^(@))+(cos 59^(@))/(sin31^(@))-8sin^(2)30^(@)

Evaluate : (cos 70^(@))/(sin 20^(@))+(cos 59^(@))/(sin31^(@))-8sin^(2)30^(@)

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. Evaluate the following: (i) (cos80^o)/(sin10^o)+cos59^o\ cos e c\ 31...

    Text Solution

    |

  2. Evaluate the following: (i) sec50^osin40^o + cos40^o\ cos e c\ 50^o ...

    Text Solution

    |

  3. Prove that: (i) sin35 sin55-cos35 cos55=0 (ii) (cos70)/(sin20)+(co...

    Text Solution

    |

  4. Express each of the following in terms of trigonometric ratios of an...

    Text Solution

    |

  5. Express each of the following in terms of trigonometric ratios of an...

    Text Solution

    |

  6. Evaluate the following: (i) ((sin35)/(cos55))^2+((cos55)/(sin35))^2-...

    Text Solution

    |

  7. Evaluate: ((sin47^@)/(cos43^@))^2+((cos43^@)/(sin47^@))^2-4cos^2 45^@

    Text Solution

    |

  8. If A ,\ B ,\ C are the interior angles of a triangle A B C , prove ...

    Text Solution

    |

  9. Find theta; if sin(theta + 36^@) = cos theta; where theta + 36^@ is a...

    Text Solution

    |

  10. If tan2theta=cot(theta+6^@) , where 2theta and theta+6^@ are acute a...

    Text Solution

    |

  11. If t a n A=cot B , prove that A+B=90^@

    Text Solution

    |

  12. If sec5A=cos e c\ (A+36^@) , where 5A is an acute angle, find the va...

    Text Solution

    |

  13. If s e c4A=cos e c(A-20^@) , where 4A is an acute angle, find the ...

    Text Solution

    |

  14. Evaluate the following: (i) (sin20^@)/(cos70^@) (ii) (cos19^@)/(sin71^...

    Text Solution

    |

  15. Evaluate the following: (i) (sin21o)/(cos69o) (ii) (tan10o)/(cot80o...

    Text Solution

    |

  16. Evaluate the following: (i) ((sin49^@)/(cos41^@))^2+((cos41^@)/(sin4...

    Text Solution

    |

  17. Evaluate the following: (i) (cot40^@)/(tan50^@)-1/2((cos35^@)/(sin55...

    Text Solution

    |

  18. Evaluate the following: (i) (tan35^@)/(cot55^@)+(cot78^@)/(tan12^@)-...

    Text Solution

    |

  19. Evaluate the following: (i) cos e c\ 31^@-sec59^@ (ii) (sin72^@+cos...

    Text Solution

    |

  20. Evaluate the following: (i) sin35osin55o-cos35ocos55o (ii) tan48ot...

    Text Solution

    |