Home
Class 11
MATHS
The value of expression (1+ sin 2 alph...

The value of expression
`(1+ sin 2 alpha)/(cos (2 alpha -2pi) tan (alpha -(3pi)/(4)))- 1/2 sin 2 alpha (cot ""(alpha)/(2) + cot ((3pi)/(2)+(alpha)/(2)))` is

A

0

B

1

C

`sin ^(2) "" (alpha)/(2)`

D

`sin ^(2) alpha`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|60 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

The expression (1 + sin 2 alpha )/( cos (2 alpha - 2pi) tan (alpha - (3pi)/(4 ))) -1/4 sin 2 alpha [ cot "" (alpha )/(2) + (alpha )/(2))] when simplified reduces to

the expression (1+sin2 alpha)/(cos(2 alpha-2 pi)tan(alpha-(3 pi)/(4)))-(1)/(4)sin2 alpha(cot((alpha)/(2))+cot((3 pi)/(2)+(alpha)/(2))) simplifies and reduces to

((1+sin2 alpha)/(cos(2 alpha-2 pi)tan(alpha-(3 pi)/(4))))-(1)/(4)sin2 alpha(cot((alpha)/(2))+cot((3 pi)/(2)+(alpha)/(2)) simplifies and reduces to

The expression (1+sin2 alpha)/(cos(2 alpha-2 pi)tan(alpha-3((pi)/(2))))-(1)/(4)sin2 alpha(cot((alpha)/(2))+cot(3((pi)/(2))+(alpha)/(2))) when simplified reduces to

The value of expression (tan alpha+sin alpha)/(2"cos"^(2)(alpha)/(2)) for alpha=(pi)/(4) is :

tan((pi)/(4)+alpha)=(1+sin2 alpha)/(cos2 alpha)

The value of (sin(pi-alpha))/(sin alpha-cos alpha tan.(alpha)/(2))-cos alpha is

If 0

If (cos3 alpha)/(cos alpha)=(1)/(3),0

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES -COMPETITIVE THINKING
  1. If tan x = 3/4, pi lt x lt (3pi)/(2), then the value of cos ""x/2 is

    Text Solution

    |

  2. If 90^(@) lt A lt 180^(@) and sin A =4/5, then tan ""A/2 is equal to

    Text Solution

    |

  3. If theta is an acute angle and sin((theta)/(2))=sqrt((x-1)/(2x)) ,then...

    Text Solution

    |

  4. If tan(x/2)=cosec x - sin x then the value of tan^2(x/2) is

    Text Solution

    |

  5. If cos theta =(cos alpha - cos beta)/( 1- cos alpha cos beta), then on...

    Text Solution

    |

  6. If theta in ((pi)/(2), (3pi)/(2)), then the value of sqrt(4 cos ^(4) t...

    Text Solution

    |

  7. (m+2)sintheta+(2m-1)costheta=2m+1 then tan theta is

    Text Solution

    |

  8. Given that cos ((alpha -beta)/(2)) = 2 cos ((alpha+ beta)/(2)), then ...

    Text Solution

    |

  9. What is tan(7(1)/(2))^(@) equal to ?

    Text Solution

    |

  10. sqrt2+ sqrt3+sqrt4+sqrt6 is equal to

    Text Solution

    |

  11. If alpha=22^@30', then (1+cos alpha)(1+cos3alpha)(1+cos5alpha)(1+co...

    Text Solution

    |

  12. If tan A= (1- cos B)/(sin B), then tan 2A is equal to

    Text Solution

    |

  13. If cosectheta=(p+q)/(p-q),then cot(pi,//4+theta//2)=

    Text Solution

    |

  14. (sqrt2 - sin alpha - cos alpha )/( sin alpha - cos alpha)=

    Text Solution

    |

  15. cos 2 (theta+ phi) +4 cos (theta + phi ) sin theta sin phi + 2 sin ^(2...

    Text Solution

    |

  16. lf sintheta+sinphi =a and costheta + cosphi = b, find the value of tan...

    Text Solution

    |

  17. The value of expression (1+ sin 2 alpha)/(cos (2 alpha -2pi) tan (al...

    Text Solution

    |

  18. Let f : (-1, 1) -> R be such that f(cos4theta) = 2/(2-sec^2theta for t...

    Text Solution

    |

  19. Let fn(Theta)=(tan(Theta/2))(1 +sec(Theta))(1+sec(2Theta)).....(1+sec(...

    Text Solution

    |

  20. The sum of the series sum (n=1) ^(oo) sin ((n!pi)/(720)) is

    Text Solution

    |