Home
Class 10
MATHS
Evaluate without using triignometric tab...

Evaluate without using triignometric tables,**
`"sin"^(2)28^(@)+"sin"^(2)62^(@)+"tan"^(2)38^(@)-"cot"^(2)52^(@)+1/(4)"sec"^(2)30^(@)`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL IDENTITIES

    ICSE|Exercise QUESTIONS|22 Videos
  • TRIGONOMETRICAL IDENTITIES

    ICSE|Exercise EXERCISE 21 (D)|22 Videos
  • TANGENTS AND INTERSECTING CHORDS

    ICSE|Exercise EXERCISE 18 (C)|42 Videos

Similar Questions

Explore conceptually related problems

Without using trigonometric tables, evaluate. "sin"^(2)34^(@)+"sin"^(2)56^(@)+2" tan"18^(@)"tan"72^(@)-"cot"^(2)30^(@)

Evaluate without using trigonometric tables : "cos"^(2) 26^(@)+"cos" 64^(@)"sin" 26^(@)+("tan" 36^(@))/("cot" 54^(@))

Evaluate 2(cos^(2)28^(@)-sin^(2)62^(@)) .

Evaluate without using trigonometric tables. 2(("tan" 35^(@))/("cot" 55^(@)))^(2)+(("cot" 55^(@))/("tan" 35^(@)))^(2)-3(("sec" 40^(@))/("cosec" 50^(@)))

Without using trigonometric tables evaluate. ("sin"65^(@))/("cos"25^(@))+("cos"32^(@))/("sin"58^(@))-"sin"28^(@)."sec"62^(@)+"cosec"^(2)30^(@)

Without using trigonometric tables , prove that : (i) sin50^(@)-cos40^(@)=0 (ii) tan36^(@)-cot54^(@)=0 (iii) sec25^(@)-"cosec "65^(@)=0 (iv) sin^(2)32^(@)+sin^(2)58^(@)=1 (v) "cosec"^(2)39^(@)-tan^(2)51^(@)=1 (vi) sec^(2)10^(@)-cot^(2)80^(@)=1

Without using a trigonometric table calculate: 4(sin32^(@))/(cos58^(@))+5(tan48^(@))/(cot42^(@))-8(sec72^(@))/(cosec18^(@))

(5cos^(6)60^(@)+4sec^(2)30^(@)-tan^(2)45^(@))/(sin^(2)30^(@)+cos^(2)30^(@))

Prove that (sin^(2)30^(@)+cos^(2)30^(@))/(sec^(2)57^(@)-tan^(2)57^(@))=1

Without using trigonometric tables , prove that : (i) tan20^(@)tan40^(@) tan45^(@)tan50^(@)tan70^(@)=1 (ii) tan1^(@) tan2^(@)tan60^(@)tan88^(@)tan89^(@)=sqrt(3) (iii) cot5^(@)cot10^(@)cot30^(@)cot80^(@)cot85^(@)=sqrt(3) (iv) 4sin10^(@)sin20^(@)sin30^(@)sec70^(@)sec80^(@)=2

ICSE-TRIGONOMETRICAL IDENTITIES-EXERCISE 21 (E)
  1. Prove that : (cos A)/(1 + sin A) = sec A - tan A

    Text Solution

    |

  2. Prove that : cos A (1 + cot A) + sin A (1 + tan A) = sec A + cosec A

    Text Solution

    |

  3. Prove that : (sin A - cos A) (1 + tan A + cot A) = (sec A)/ (cosec^(...

    Text Solution

    |

  4. Prove that : sqrt (sec^(2) A + cosec^(2) A) = tan A + cot A

    Text Solution

    |

  5. Prove that : (sin A + cos A) (sec A + cosec A) = 2 + sec A cosec A

    Text Solution

    |

  6. Prove that : (tan A + cot A) (cosec A - sin A) (sec A - cos A) = 1

    Text Solution

    |

  7. Prove that : cot^(2) A - cot^(2) B = (cos^(2) A - cos^(2) B)/ (sin^(...

    Text Solution

    |

  8. Prove that : (cot A - 1)/ (2 - sec^(2) A) = (cot A)/ (1 + tan A)

    Text Solution

    |

  9. If 4 cos^(2) A - 3 = 0 and 0^(@) le A le 90^(@), then prove that :...

    Text Solution

    |

  10. If 4 cos^(2) A - 3 = 0, show that : cos 3 A = 4 cos^(3) A - 3 co...

    Text Solution

    |

  11. Find A, if 0^(@) le A le 90^(@) and : 2 cos^(2) A - 1 = 0

    Text Solution

    |

  12. Find A, if 0^(@) le A le 90^(@) and : sin 3 A - 1 = 0

    Text Solution

    |

  13. Find A, if 0^(@) le A le 90^(@) and : 4 sin^(2) A - 3 = 0

    Text Solution

    |

  14. Find A, if 0^(@) le A le 90^(@) and : cos^(2) A - cos A = 0

    Text Solution

    |

  15. Find A, if 0^(@) le A le 90^(@) and : 2 cos^(2) A + cos A - 1 = ...

    Text Solution

    |

  16. If 0^(@) le A le 90^(@), find A, if : (cos A)/ (1 - sin A) + (co...

    Text Solution

    |

  17. If 0^(@) le A le 90^(@), find A, if : (sin A)/ (sec A - 1) + (si...

    Text Solution

    |

  18. Prove that : (cosec A - sin A) (sec A - cos A) sec^(2) A = tan A

    Text Solution

    |

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

    Text Solution

    |

  20. Evaluate without using triignometric tables,** "sin"^(2)28^(@)+"sin...

    Text Solution

    |