Home
Class 12
MATHS
The value of the expression ((sin3theta)...

The value of the expression `((sin3theta)/(sintheta))^2-((cos3theta)/(costheta))^2,w h e ntheta=(7. 5)^0,` is
a. `4(sqrt(3)+1)`
b. `(sqrt(3)-1)`
c. `2(sqrt(6)+sqrt(2))`
d. `8/(sqrt(6)-sqrt(2))`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

(3sqrt(2))/(sqrt(6)-sqrt(3))+(2sqrt(3))/(sqrt(6)+2)-(4sqrt(3))/(sqrt(6)-sqrt(2))

(2)/(sqrt(5)+sqrt(3))-(3)/(sqrt(6)+sqrt(3))+(1)/(sqrt(6)+sqrt(5))=?

(3sqrt(2))/(sqrt(3)+sqrt(6))-(4sqrt(3))/(sqrt(6)+sqrt(2))+(sqrt(6))/(sqrt(3)+sqrt(2))

The value of 5sqrt(3) + 7sqrt(2) - sqrt(6) - 23/(sqrt(2) + sqrt(3) + sqrt(6)) is:

4^(5log_(4)(sqrt(2)(3-sqrt(6)))-6log_(8)(sqrt(3)-sqrt(2)))

sqrt3costheta+sin theta=sqrt2

The value of sqrt(6+2sqrt(3)+2sqrt(2)+2sqrt(6))-(1)/(sqrt(5-2sqrt(6))) is

The value of the integral int_(0)^(pi//2)(3sqrt(costheta))/((sqrt(costheta)+sqrt(sintheta))^5)d theta equals ............

If 2 cos theta =sqrt(3) , cos theta xx tan theta = ? A. 1 B. sqrt(3)//3 C. sqrt(3)//2 D. 1//2

RESONANCE DPP-JEE MAINS-All Questions
  1. The least integral value of ' a ' for which the graphs y=2a x+1 and y=...

    Text Solution

    |

  2. A non zero vector veca is parallel to the line of intersection of the ...

    Text Solution

    |

  3. The value of the expression ((sin3theta)/(sintheta))^2-((cos3theta)/(c...

    Text Solution

    |

  4. If 1+^n C1costheta+^n C2cos2theta+........ +^n Cn equals

    Text Solution

    |

  5. A class has 175 students. The following data shows the number of stude...

    Text Solution

    |

  6. The value of ((""^(50)C(0))/(1)+(""^(50)C(2))/(3)+(""^(50)C(4))/(5)+…....

    Text Solution

    |

  7. If 1/|a| > 1/|b|, then |a| < b, where a and b are non-zero real number...

    Text Solution

    |

  8. Draw the graph of the function: f(x)=||x-2|-3|

    Text Solution

    |

  9. The coefficient of x^(n) in the expansion of (1-9 x + 20 x^(2))^(-1...

    Text Solution

    |

  10. The number of roots of the equation, x-2/(x-1)=1-2/(x-1) is 0 (b) 1 ...

    Text Solution

    |

  11. Concentric circles of radii 1,2,3,. . . . ,100 c m are drawn. The inte...

    Text Solution

    |

  12. Value of (2sin9^(@)sin 21^(@)sin 39^(@)sin 51^(@)cos21^(@)sin 81^(@))/...

    Text Solution

    |

  13. Let f(n)=sum(r=0)^nsum(k=r)^n(k r)dot Find the total number of divi...

    Text Solution

    |

  14. Complete solution of inequality ||3x-9|+2|>2 is (-oo,oo) (b) {3} (...

    Text Solution

    |

  15. Draw the graphs of y=x+x/(|x|)

    Text Solution

    |

  16. If the sum of n terms of an A.P. is c n(n-1) where c!=0, then the sum ...

    Text Solution

    |

  17. Suba Rao started work in 1995 at an annual salary of Rs. 5000 and rece...

    Text Solution

    |

  18. lim(n->oo) sum(n=1)^ntan^(- 1)((2r+1)/(r^4+2r^3+r^2+1)) is equal to

    Text Solution

    |

  19. Consider an A.P. a1, a2, an , and the G.P. b1,b2, ,bn , such that a...

    Text Solution

    |

  20. If f(x)=sin{[x+5]+{x-{x-{x}}}" for "x in (0,pi/4) is invertible, where...

    Text Solution

    |