Home
Class 12
MATHS
The value of expression (2sin^2 91^0-1)(...

The value of expression `(2sin^2 91^0-1)(2sin^2 92^0-1)(2sin^2 180^0-1)` is equal to 0 (b) `1` (c) `2^(90)` (d) `2^(90)-90`

A

0

B

1

C

`2^90`

D

`2^90-90`

Text Solution

Verified by Experts

The correct Answer is:
A
`(2sin^2 91^@-1)(2sin^2 92^@-1)...(2sin^2 180^@-1)`,
In this product there exists a factor `(2sin^2 135^@-1)`, which is equal to zero
Thus, the product of all terms is zero.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Multiple)|17 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Comprehension)|11 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 2.6|9 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Archives (Matrix Match Type)|1 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Matrix Match Type|1 Videos

Similar Questions

Explore conceptually related problems

The value of the expression (tan^2 20^0-sin^2 20^0)/(tan^2 20^0+sin^2 20^0) is__________

The value of sin^2 12^0+sin^2 21^0+sin^2 39^0+sin^2 48^0-sin^2 9^0-sin^2 18^0 is _______

sin(2sin^(-1) 0.8)=

The value of sin(2(tan^(-1)0.75) is ………..

The value of int_(0)^(1) (sin^(-1) x ) ^(2) dx is

The value of expression (2(sin1^0+sin2^0+sin3^0+...+sin89^0))/(2(cos1^0+cos2^0++cos44^0)+1) (a) sqrt(2) (b) 1/(sqrt(2)) (c) 1/2 (d) 0

("lim")_(xvec0)(sin(x^2))/(1n(cos(2x^2-x)))is equal to 2 (b) -2 (c) 1 (d) -1

("lim")_(xvecoo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) 0 (b) 1 (c) 1/3 (d) 1/2

The number of solutions of the equation cos^(-1)((1+x^2)/(2x))-cos^(-1)x=pi/2+sin^(-1)x is 0 (b) 1 (c) 2 (d) 3

CENGAGE-TRIGONOMETRIC FUNCTIONS -Exercise (Single)
  1. about to only mathematics

    Text Solution

    |

  2. If 1+sinx+sin^2x+sin^3x+oo is equal to 4+2sqrt(3),0<x<pi, then x is eq...

    Text Solution

    |

  3. The value of expression (2sin^2 91^0-1)(2sin^2 92^0-1)(2sin^2 180^0-1)...

    Text Solution

    |

  4. If sinA=sin^2B and 2cos^2A=3cos^2B then the triangle ABC is

    Text Solution

    |

  5. If sintheta+costheta=1/5a n d0lt=theta<pi, then tantheta is -4/3 (b) ...

    Text Solution

    |

  6. If pi,t h e nsqrt((1-cosalpha)/(1+cosalpha))+sqrt((1+cosalpha)/(1-cosa...

    Text Solution

    |

  7. IF tan alpha = ( sin alpha - cos alpha )/( sin alpha + cos alpha)...

    Text Solution

    |

  8. The least value of 2sin^2theta+3cos^2theta is 1 (b) 2 (c) 3 (d) ...

    Text Solution

    |

  9. The greatest value of sin^4theta+cos^4thetai s 1/2 (b) 1 (c) 2 (d...

    Text Solution

    |

  10. If f(x)=sin^6x+cos^6x , then range of f(x) is [1/4,1] (b) [1/4,3/4] ...

    Text Solution

    |

  11. The minimum value of atan^2x+bcot^2x equals the maximum value of asin^...

    Text Solution

    |

  12. Range of f(theta)=cos^2theta(cos^2theta+1)+2sin^2theta is [3/4,1] (b)...

    Text Solution

    |

  13. If 0<theta<pi, then minimum value of 3sintheta+cos e c^3theta is 4 (b)...

    Text Solution

    |

  14. If thetaigt0" for "1lethetalenandtheta1+theta2+theta3+...+thetan=pithe...

    Text Solution

    |

  15. The set of values of lambda in R such that sin^2theta+costheta=lambda...

    Text Solution

    |

  16. Let A=sin^8theta+cos^14theta, " then "A("max") is

    Text Solution

    |

  17. Minimum value of y=256sin^2x+324cos e c^2xAAx in R is 432 (b) 504 ...

    Text Solution

    |

  18. If aa n db are positive quantities such that a > b , the minimum value...

    Text Solution

    |

  19. If y=(sinx+cos e cx)^2+(cosx+secx)^2 , then the minimum value of y ,AA...

    Text Solution

    |

  20. The variable x satisfying the equation |sinxcosx|+sqrt(2+tan^2 x+cot^2...

    Text Solution

    |