Home
Class 11
MATHS
(sqrt2 - sin alpha - cos alpha )/( sin a...

`(sqrt2 - sin alpha - cos alpha )/( sin alpha - cos alpha)=`

A

`sec ((alpha )/(2) -(pi)/(8))`

B

`cos ((pi)/(8) -(alpha)/(2))`

C

`tan ((alpha)/(2) -(pi)/(8))`

D

`cot ((alpha )/(2) -(pi)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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

(sqrt(2)-sin alpha-cos alpha)/(sin alpha-cos alpha) is equal to

(sqrt(2)-sin alpha-cos alpha)/(sin alpha-cos alpha) is equal to (a)sec((alpha)/(2)-(pi)/(8))(b)cos((pi)/(8)-(alpha)/(2))(c)tan((alpha)/(2)-(pi)/(8))(d)cot((alpha)/(2)-(pi)/(2))

tan theta = (sin alpha-cos alpha) / (sin alpha + cos alpha)

If tan theta=(sin alpha- cos alpha)/(sin alpha+cos alpha) , then

underset is If tan theta=(sin alpha-cos alpha)/(sin alpha+cos alpha), then sin alpha+cos alpha

If tan theta=(sin alpha-cos alpha)/(sin alpha+cos alpha), prove that 2cos^(2)theta=1+sin2 alpha

If sin alpha/2 + cos alpha/2=1.4 , then: sin alpha cos alpha =

(sin alpha*sin3 alpha+sin3 alpha*sin7 alpha+sin5 alpha*sin15 alpha)/(sin alpha*cos3 alpha+sin3 alpha cos7 alpha+sin5 alpha*cos15 alpha)=

If A=[(cos^2 alpha,sin^2alpha),(cos alpha,sin alpha)] and B=[(sin^2 alpha,cos^2 alpha),(sin alpha,cos alpha)]. Find (A+B).

If A_(alpha), = [{:(cos alpha , sin alpha),(-sin alpha , cos alpha):}] , then

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

    |