Home
Class 11
MATHS
Prove that sin^(2)5^(@) +sin^(2)10^(@) +...

Prove that `sin^(2)5^(@) +sin^(2)10^(@) + sin^(2)15^(@)+...+sin^(2)90^(@)=(19)/(2)`

A

7

B

`8 1//2`

C

`9 1//2`

D

`7 1//2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise EXERCISE- II|52 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos
  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos

Similar Questions

Explore conceptually related problems

sin^(2) 5^(@)+sin^(2) 10^(@) +sin^(2)15^(@)+...+sin^(2) 180^(@)=

Prove that sin^(2)24^(@)-sin^(2)6^(@)

Prove that sin^(2)42^(@)-cos^(2)78^(@) .

sin^(2) 20^(@) + sin^(2) 100^@ + sin^(2) 140^(@) =

Sin^(2)50^(@)+Sin^(2)70^(@)+Sin^(2)170^(@)=

Prove that sin^(2)52 1/2-sin^(2)22 1/2 .

Show that sin^(2) 75^(@) - sin^(2) 15^(@) = (sqrt(3))/(2)

sin^(2)22^(@)+sin^(2)38^(@)+sin22^(@) sin38^(@)=

Sin^(2)27^(@)+Sin^(2)87^(@)+Sin^(2)33^(@)=

32sin^(6) 15^@ -48 sin^(4) 15 ^(@) + 18 sin^2 15^@ =

AAKASH SERIES-TRIGONOMERTIC RATIOS-PRACTICE EXERCISE
  1. If ABCD is a cyclic quadrilateral then co (180^(@) +A) + cos (180^(@)...

    Text Solution

    |

  2. If alpha , beta are complementary angles , sin alpha = 3//5 , then s...

    Text Solution

    |

  3. Prove that sin^(2)5^(@) +sin^(2)10^(@) + sin^(2)15^(@)+...+sin^(2)90^(...

    Text Solution

    |

  4. cos^(2)5^(@)+cos^(2)10^(@)+cos^(2)15^(@)+.....+cos^(2) 90^(@)=

    Text Solution

    |

  5. cos^(@)cos2^(@)cos3^(@).......cos179^(@)=

    Text Solution

    |

  6. tan10^(@) tan 20^(@) tan 30^(@) tan 40^(@) tan 50^(@) tan 60^(@) tan 7...

    Text Solution

    |

  7. [(Tan ( pi - x) Tan (1.5 pi + x))/(Cos^(2)(x-1.5pi))-(Cos(1.5pi + x))/...

    Text Solution

    |

  8. If cos A = 3/4 then (2cos A + 3 sin A)/(4 cos A - sin A) =

    Text Solution

    |

  9. If theta is acute and (1-a^(2)) sin theta =(1+ a^(2)) cos theta , t...

    Text Solution

    |

  10. If cot theta=-3//4 and theta is not in the second quadrant , then ...

    Text Solution

    |

  11. If tan 20^(@) = lambda , " then " (tan 250^@ + tan 340^(@))/(tan 200^...

    Text Solution

    |

  12. 3(sin x + cos x )^(4) + 6(sin x - cos x )^(2) + 4(sin^(6) x + cos^(6) ...

    Text Solution

    |

  13. If k=( sec A + tan A) ( sec B+ tan B) sec C + tan C)=(sec A - tan A)(s...

    Text Solution

    |

  14. In Delta le ABC, 3 tan A+4=0 then the quadratic equation whose roots a...

    Text Solution

    |

  15. If sin theta , cos theta are ther roots of the equation ax^(2)-bx+c...

    Text Solution

    |

  16. If (x)/(a) cos theta + (y)/(b) sin theta = 1 , (x)/(a) sin theta - (y...

    Text Solution

    |

  17. If x = h + p Sec alpha, y = k + q cosec alpha then ((p)/(x-h))^(2) +((...

    Text Solution

    |

  18. If x=a("cosec" theta + cot theta ) , y=b( " cosec " theta - cot theta ...

    Text Solution

    |

  19. (1+cosec theta - cot theta)/(1+cosec theta + cot theta)=

    Text Solution

    |

  20. (1)/(sec^(4) alpha ) +(1)/("cosec"^(4) alpha ) +(2)/(sec^(2) alpha + ...

    Text Solution

    |