Home
Class 11
MATHS
The value of sin(45^(@)+theta)-cos(45^(@...

The value of `sin(45^(@)+theta)-cos(45^(@)-theta)` is

A

`2costheta`

B

`2sintheta`

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (FILLERS)|17 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|15 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|10 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Question of Module (Knowledge Test :)|18 Videos

Similar Questions

Explore conceptually related problems

If theta lies in the first quadrant and costheta=(8)/(17) , then find the value of cos(30^(@)+theta)+cos(45^(@)-theta)+cos(120^(@)-theta) .

Answer each question by selecting the proper alternative from those given below each question so as to make each statement true : sin(45^(@)+theta)-cos(45^(@)-theta)=….

The value of cos (270^(@) + theta) cos ( 90^(@) -theta) -sin (270^(@) - theta) cos theta is

If sin theta+cosec theta=2, "then the value of " sin ^(10)theta+cosec^(10)theta, is

The maximum value of 1+sin(pi/4+theta)+2cos(pi/4-theta) for real values of theta is

If cot theta=(4)/(3) , then find the value of sin theta,cos theta and cos ectheta in first quadrant. If sin theta+cos ec theta=2 then find the value of sin^(8 )theta+cos ec^(8)theta .

If tan^(4)theta +tan^(2) theta = 1 , then the value of cos^(4)theta +cos^(2)theta is-

For theta in(0,pi/2) , the maximum value of sin(theta+pi/6)+cos(theta+pi/6) is attained at theta =

Prove that, sin(40^(@)+theta)cos(10^(@)+theta)-cos(40^(@)+theta)sin(10^(@)+theta)=(1)/(2)

Consider a triangle PQR ,right at R ,in which PQ = 29 units ,QR =21 units and angle PQR =theta , then find the values of (i) cos ^(2) theta + sin ^(2) theta and (ii) cos ^(2) theta -sin ^(2) theta

KUMAR PRAKASHAN-TRIGONOMETRIC FUNCTIONS -SOLUTION OF NCERT EXEMPLAR PROBLEMS (OBJECTIVE TYPE QUESTIONS)
  1. If tanalpha=(m)/(m+1)andtanbeta=(1)/(2m+1) then (alpha+beta) is equal ...

    Text Solution

    |

  2. The minimum value of 3cosx+4sinx+8 is

    Text Solution

    |

  3. The value of tan3A-tan2A-tanA is

    Text Solution

    |

  4. The value of sin(45^(@)+theta)-cos(45^(@)-theta) is

    Text Solution

    |

  5. The value of cot((pi)/(4)+theta)cot((pi)/(4)-theta) is

    Text Solution

    |

  6. cos2thetacos2phi+sin^(2)(theta-phi)-sin^(2)(theta+phi) is equal to

    Text Solution

    |

  7. The value of cos12^(@)+cos84^(@)+cos156^(@)+cos132^(@) is

    Text Solution

    |

  8. If tanA=(1)/(2)andtanB=(1)/(3), then tan(2A+B) is equal to

    Text Solution

    |

  9. The value of sin""(pi)/(10)sin""(13pi)/(10) is

    Text Solution

    |

  10. The value of sin50^(@)-sin70^(@)+sin10^(@) is

    Text Solution

    |

  11. If sintheta+costheta=1, then the value of sin(2theta) is

    Text Solution

    |

  12. If alpha+beta=(pi)/(4), then the value of (1+tanalpha)(1+tanbeta) is

    Text Solution

    |

  13. If sintheta=(-4)/(5)andtheta lies in third quadrant, then the value of...

    Text Solution

    |

  14. The number of solutions of equation tanx+secx=2cosx lying in the inter...

    Text Solution

    |

  15. The value of sin((pi)/(18))+sin((pi)/(9))+sin((2pi)/(9))+sin((5pi)/(18...

    Text Solution

    |

  16. If A lies in the second quadrant and 3tanA+4=0, then the value of 2cot...

    Text Solution

    |

  17. The value of cos^(2)48^(@)-sin^(2)12^(@) is

    Text Solution

    |

  18. If tanalpha=(1)/(7)andtanbeta=(1)/(3), then cos2alpha is equal to

    Text Solution

    |

  19. If tantheta=(a)/(b), then bcos2theta+asin2theta is equal to

    Text Solution

    |

  20. If for real values of x, costheta=x+(1)/(x), then

    Text Solution

    |