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

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

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

Evaluate without using trigonometric tables : tan 20.tan 40^(@) tan 50^(@) tan 70^(@)

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

Evaluate without using trigonometric tables : tan 20^(@) tan 40^(@) tan 50^(@) tan 70^(@)

Evaluate: (cos 55^(@))/(sin 35^(@))+(cot 35^(@))/(tan 55^(@))

Evaluate (sin35^(@))/(cos55^(@))+(sec20^(@))/("cosec"70^(@)) .

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

Without using trigonometric tables , evaluate : (i) (sin40^(@))/(cos50^(@))+(3tan50^(@))/(cot40^(@)) (ii) (sec37^(@))/("cosec "53^(@))-(tan20^(@))/(cot70^(@)) (iii) (cos74^(@))/(sin16^(@))+(sin12^(@))/(cos78^(@))-sin18^(@)sec72^(@) (iv) sin35^(@)sec55^(@)+(4sec32^(@))/("cosec "58^(@))

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

Without using trigonometric tables , evaluate : ((tan20^(@))/(cosec70^(@)))^(2)+((cot20^(@))/(sec70^(@)))^2+2tan 15^(@)tan37^(@)tan53^(@)tan60^(@)tan75^(@)

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

ICSE-TRIGONOMETRICAL IDENTITIES-EXERCISE 21 (E)
  1. if 2 sin A - 1 = 0, show that : sin 3 A = 3 sin A - 4 sin^(3) A

    Text Solution

    |

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

    Text Solution

    |

  3. Evaluate without using trigonometric tables. 2(("tan" 35^(@))/("cot"...

    Text Solution

    |

  4. Evaluate : sec 26^(@) sin 64^(@) + (cosec 33^(@))/(sec 57^(@))

    Text Solution

    |

  5. Evaluate ( 5 sin 66 ^(@))/( cos 24 ^(@)) -( 2 cot 85^(@))/(tan 5^(@...

    Text Solution

    |

  6. Evaluate cos 40 ^(@) cosec 50 ^(@)+ sin 50 ^(@) sec 40 ^(@)

    Text Solution

    |

  7. Evaluate sin 27 ^(@) sin 63 ^(@) - cos 63^(@) cos 27 ^(@)

    Text Solution

    |

  8. Evaluate : 3(sin 72^(@))/(cos 18^(@))-(sec 32^(@))/(cosec 58^(@))

    Text Solution

    |

  9. Evaluate 3 cos 80 ^(@) cosec 10 ^(@) + 2 cos 59 ^(@) cosec 31 ^(@...

    Text Solution

    |

  10. Evaluate : (cos 75^(@))/ (sin 15^(@)) + (sin 12^(@))/ (cos 78^(@)) -...

    Text Solution

    |

  11. Prove that : tan (55^(@) + x) = cot (35^(@) - x)

    Text Solution

    |

  12. Prove that : sec (70^(@) - 0) = cosec (20^(@) + 0)

    Text Solution

    |

  13. Prove that : Sin( 28 ^(@) +A) = cos ( 62 ^(@) - A)

    Text Solution

    |

  14. Prove that : (1)/ (1 + cos (90^(@) - A)) + (1)/ (1 - cos (90^(@) - A...

    Text Solution

    |

  15. Prove that : (1)/ (1 + sin (90^(@) - A)) + (1)/ (1 - sin (90^(@) - A...

    Text Solution

    |

  16. If A and B are complementary angles, prove that : cot B + cos B = se...

    Text Solution

    |

  17. If A and B are complementary angles, prove that : cot A cot B - sin ...

    Text Solution

    |

  18. If A and B are complementary angles, prove that : cosec^(2) A + cose...

    Text Solution

    |

  19. If A and B are complementary angles, prove that : (sin A + sin B)/ (...

    Text Solution

    |

  20. Prove that : (1)/ (sin A - cos A) - (1)/ (sin A + cos A) = (2 cos A)...

    Text Solution

    |