Home
Class 12
MATHS
2sin^(2)((pi//2)cos^(2)x)=1-cos(pi sin2x...

`2sin^(2)((pi//2)cos^(2)x)=1-cos(pi sin2x)` if

A

`x=(2n+1)pi//2`

B

`x=n pi//2`

C

`x=2n pi`

D

none of these, `n in I`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 Single Correct Answer Type Questions)|30 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|32 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept-based Single Correct Answer Type Questions ) |20 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos
  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

Similar Questions

Explore conceptually related problems

If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//2, n in I , then cos 2x is equal to

The equation 2 sin^(2) (pi/2 cos^(2) x)=1-cos (pi sin 2x) is safisfied by

Find the number of solution of sin^(2)x cos^(2)x=1+cos^(2)x sin^(4)x in the interval [0,2 pi].

If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to

If sin(pi cos x)=cos(pi sin x), then sin2x=

The number of solutions of the equation cos^(2)(x+(pi)/(6))+cos^(2)x-2cos(x+(pi)/(6))*cos(pi)/(6)=sin^(2)(pi)/(6) in interval ((-pi)/(2),(pi)/(2)) is

lim_(xrarrpi//2)(cos((pi)/(2)sin^(2)x))/(cot((pi)/(2)sin^(2)x)) equals

The value of the integral int_(-(pi)/(2))^((pi)/(2))cos^(4)x(1+log((2+sin x)/(2-sin x)))dx is

MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -EXERCISE (LEVEL 1 Single Correct Answer Type Questions)
  1. 2cos^(2)x+4cosx=3sin^(2)x if

    Text Solution

    |

  2. 6tan^(2)x-2cos^(2)x=cos2x if

    Text Solution

    |

  3. The greatest value of cos theta for which cos 5 theta=0 is

    Text Solution

    |

  4. If tan p theta= tan q theta, then the values of theta form an A.P. wit...

    Text Solution

    |

  5. The equation int(0)^(x).(t^(2)-8t+13) dt =x sin(a//x) has a solution i...

    Text Solution

    |

  6. The smallest positive root of the equation sqrt(sin(1-x))=sqrt(cosx)...

    Text Solution

    |

  7. The sum of the roots of the equation 4cos^(3)x-4cos^(2)x-cos(pi+x)-1...

    Text Solution

    |

  8. A solution (x, y) of x^(2)+2x sin xy+1=0 is

    Text Solution

    |

  9. e^(sinx)-e^(-sinx)=4 for

    Text Solution

    |

  10. The number of values of x satisfying the condition sin x +sin 5x=sin3x...

    Text Solution

    |

  11. sin x, sin2x, sin3x are in A.P. if

    Text Solution

    |

  12. 2sin^(2)((pi//2)cos^(2)x)=1-cos(pi sin2x) if

    Text Solution

    |

  13. Number of solutions of the equation 4 sin^(2)x+tan^(2)x+cot^(2)x+"cose...

    Text Solution

    |

  14. Sum of integral values of n such that sinx (2sin x+cosx)=n, has at le...

    Text Solution

    |

  15. If 0 lt x lt pi//2 and sin(2 sin x)=cos(2 cos x) then tan x+cotx=(a)/...

    Text Solution

    |

  16. If 15sin^(4)alpha+10cos^(4)alpha=6 then the value of 8"cosec"^(6)alpha...

    Text Solution

    |

  17. If sum(r = 1)^(oo) "tan"^(-1)(1)/(2r^(2))=t, then tan t is equal to

    Text Solution

    |

  18. If theta in [-2011pi, 2011pi], then the number of solutions of the equ...

    Text Solution

    |

  19. If x="sin"(2pi)/(7)+"sin"(4pi)/(7)+"sin"(8pi)/(7) and y="cos"(2pi)/(7)...

    Text Solution

    |

  20. Number of solutions of the equation sin((pi x)/(2sqrt(3)))=x^(2)-2s...

    Text Solution

    |