Home
Class 11
MATHS
tan (A + 30^(@)) + cot (A - 30^(@)) = (1...

`tan (A + 30^(@)) + cot (A - 30^(@)) = (1)/( sin 2 A - sin 60^(@)).`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPOUND AND MULTIPLE ANGLES

    ICSE|Exercise EXERCISE 5 (C ) |30 Videos

  • COMPOUND AND MULTIPLE ANGLES

    ICSE|Exercise EXERCISE 5 (D) |60 Videos

  • COMPOUND AND MULTIPLE ANGLES

    ICSE|Exercise EXERCISE 5(A)|49 Videos

  • COMPLEX NUMBERS

    ICSE|Exercise Chapter Test|25 Videos

  • CONIC SECTIONS

    ICSE|Exercise Multiple Choice Questions |33 Videos

Similar Questions

Explore conceptually related problems

Prove that sin 30 ^(@) = (1)/(2) .

Prove that : (i) sin 60^(@) = 2 sin 30^(@) cos 30^(@) (ii) 4(sin^(4) 30^(@) + cos^(4) 60^(@)) - 3(cos^(2)45 - sin^(2)90^(@)) = 2

Find the value of : (i) (tan 45^(@))/("cosec 30"^(@)) + (sec 60^(@))/(cot 45^(@)) - (5 sin 90^(@))/(2 cos 0^(@)) (ii) 3 sin^(2)30^(@) + 2 tan^(2)60^(@) - 5 cot^(2)45

With out using tables, evaluate : 4 tan 60^(@) sec 30^(@) + (sin 31^(@) sec 59^(@) + cot 59^(@) cot 31^(@))/(8 sin^(2) 30^(@) - tan^(2) 45^(@))

Prove that : (i) ((tan 60^(@)+1)/(tan 60^(@) - 1))^(2) = (1 + cos 30^(@))/(1 - cos 30^(@)) (ii) 3 "cosec"^(2) 60^(@) - 2 cot^(2) 30^(@) + sec^(2) 45^(@) = 0

Evaluate : (cos^(2)(45^(@) + theta)+ cos^(2) (45^(@) -theta))/(tan(60^(@) + theta) xx tan(30^(@) - theta))+(cot30^(@) + sin 90^(@))xx (tan60^(@) -sec0^(@))

If A=30 ^(@) then show that sin ( 60 ^(@) +A) - sin (60 ^(@) - A) = sin A

(2tan3 0^(@))/(1-tan^2 3 0^(@)) is equal to (a) sin60^(@) (b) cos60^(@) (c) tan60^(@) (d) sin30^(@)

Given that sin30^(@)=1//2 and cos 30^(@)=sqrt3//2 . Determine the values of sin 60^(@), sin 120^(@), sin 240^(@), sin 300^(@) , and sin (-30^(@)) .

If A=30 ^(@) then show that sin (A+ 30 ^(@) ) + cos (A+ 60 ^(@)) = cos A

ICSE-COMPOUND AND MULTIPLE ANGLES -EXERCISE 5 (B)
  1. (sin 75^(@) - sin 15 ^(@))/( cos 75^(@) + cos 15 ^(@)) = (1)/(sqrt3)

    Text Solution

    |

  2. (sin 7x + sin 3x )/(cos 7x + cos 3x ) = tan 5x.

    Text Solution

    |

  3. (cos 2B - cos 2 A)/( sin 2 A + sin 2 B) = tan (A -B).

    Text Solution

    |

  4. (sin (4A - 2B) + sin (4B - 2 A))/( cos (4 A - 2 B) + cos (4B - 2 A))= ...

    Text Solution

    |

  5. (cos alpha + 2 cos 3 alpha + cos 5 alpha )/(cos 3 alpha + 2 cos 5 alph...

    Text Solution

    |

  6. ( sin A + sin 3A + sin 5A + sin 7A)/(cos A + cos 3 A + cos 5 A + cos 7...

    Text Solution

    |

  7. cos 20^(@) + cos 100^(@) + cos 140^(@) = 0

    Text Solution

    |

  8. Prove that :sin 10^(@) + sin 20^(@) + sin 40^(@) + sin 50^(@) = sin 70...

    Text Solution

    |

  9. Prove that cos 15 ^(@) - sin 15^(@) = (1)/(sqrt2)

    Text Solution

    |

  10. Prove that sin 36 ^(@) + cos 36 ^(@) = sqrt2 cos 9^(@).

    Text Solution

    |

  11. Prove that cos 20^(@) cos 40^(@) cos 80^(@) = (1)/(8).

    Text Solution

    |

  12. sin 10 ^(@) sin 50^(@) sin 70^(@) = (1)/(8).

    Text Solution

    |

  13. 4 cos 12 ^(@) cos 48^(@) cos 72^(@) = cos 36 ^(@)

    Text Solution

    |

  14. tan 20^(@) tan 40^(@) tan 80^(@) = tan 60^(@)

    Text Solution

    |

  15. 2 cos ""(pi)/(13) cos ""(9pi)/(13) + cos ""(3pi)/(13) + cos "" (5pi)/(...

    Text Solution

    |

  16. tan (A + 30^(@)) + cot (A - 30^(@)) = (1)/( sin 2 A - sin 60^(@)).

    Text Solution

    |

  17. cos A + cos (120 ^(@) - A ) + cos (120 ^(@) + A ) =0

    Text Solution

    |

  18. cos (A +B) + sin (A -B) = 2 sin (45 ^(@) + A) cos ( 45 ^(@) + B).

    Text Solution

    |

  19. If cos A + cos B = (1)/(3) and sin A + sin B = 1/4 prove that tan "" (...

    Text Solution

    |

  20. What is the value of (cos 10 ^(@) + sin 20^(@))/( cos 20^(@) - sin 10 ...

    Text Solution

    |