Home
Class 11
MATHS
Evaluate (iv) (cos theta - sin theta)...

Evaluate
(iv) `(cos theta - sin theta)` if (a) ` theta = (7 pi)/(4) ` (b) `theta = (11 pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
a) `sqrt(2)`
b) `(sqrt(3)+1)/2`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(B)|12 Videos
  • TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(C)|40 Videos
  • TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 6(F)|20 Videos
  • TRIGONOMETRIC EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS |18 Videos

Similar Questions

Explore conceptually related problems

If tan(pi cos theta)=cot(pi sin theta), 0 lt theta lt (3pi)/(4) then sin(theta+(pi)/(4))=

If cos theta = cos 5pi//4 , then theta =

Prove that sin ^(2) theta + sin ^(2) (theta+(pi)/(3))+ sin ^(2) (theta-(pi)/(3))=(3)/(2)

int_(-pi//2)^(pi//2) cos theta (1+sin theta)^(2) d theta=

If x = cos theta (1 + cos theta ), y = sin theta (1 + cos theta ) show that ((dy)/(dx)) _(theta = ( pi )/(2)) =1.

If tan(pi cos theta) =cot(pi sin theta), 0 lt theta lt(3pi)/4 , then sin(theta+pi/4) =

If x = a cos^4 theta , y = a sin^4 theta then (dy)/(dx) at theta = (3 pi)/4 is

If x=a ( theta - sin theta), y =a (1 - cos theta) then y _(2) at theta = pi //4 is

If sin 7theta + sin 4theta + sin theta = 0, 0 le theta le pi//2 , then theta =

If sin(pi cos theta)=cos(pi sin theta) then sin2theta=

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(A)
  1. sin^(2)""(2pi)/(3)+ cos^(2)""(5pi)/6-tan^(2)""(3pi)/4=

    Text Solution

    |

  2. Evaluate. cos225^(@)-sin225^(@)+tan495^(@)-cot495^(@)

    Text Solution

    |

  3. Evaluate (iv) (cos theta - sin theta) if (a) theta = (7 pi)/(4) (...

    Text Solution

    |

  4. IF sintheta=-1/3 and theta does not lie in the 3^(rd) quadrant, find t...

    Text Solution

    |

  5. If cos theta = t(0lt t lt 1) and theta does not lies in the first qua...

    Text Solution

    |

  6. Find sin330^@.cos120^@+ cos210^@.sin300^@

    Text Solution

    |

  7. If cosec theta + cot theta =1//3, then find cos theta and determine th...

    Text Solution

    |

  8. If sin alpha + "cosec" alpha = 2, find value of sin^(n) alpha + "cosec...

    Text Solution

    |

  9. If sec theta + tan theta =5, then find sin theta and determine the qu...

    Text Solution

    |

  10. Prove that sin 780^(@) sin 480^(@)+cos240^(@). Cos300^(@) = 1/2

    Text Solution

    |

  11. Show that cot.(pi)/(20). cot .(3pi)/(20). cot.(5pi)/(20). cot .(7pi)...

    Text Solution

    |

  12. Simplify. (sigmatauv(-(11pi)/3)taualphav((35pi)/6)sigmaepsilonchi(-(...

    Text Solution

    |

  13. If tan20^(@)=p then prove that = (tan610^(@)+tan700^(@))/(tan 560^(@)-...

    Text Solution

    |

  14. If alpha , beta are complementry angles such that bsin alpha = a, the ...

    Text Solution

    |

  15. If cos A = cos B = -1/2 and A does not lie in the second quadrant and ...

    Text Solution

    |

  16. If 8 tan A = -15 and 25 sin B = -7 and neither A nor B is in the four...

    Text Solution

    |

  17. If A, B, C, D are angles of a cyclic quadrilateral then P.T sin A - s...

    Text Solution

    |

  18. If A,B,C,D are the angles of a cyclic quadrilateral then cos A + cos...

    Text Solution

    |

  19. If 3sin A + 5 cos A = 5, then show that 5 sin A - 3 cos A = +- 3.

    Text Solution

    |

  20. If tan^(2)theta = (1-e^2) show that sec theta + tan^(3). "cosec" theta...

    Text Solution

    |