Home
Class 12
MATHS
If sin theta=(1)/(2) (a+(1)/(a)) and sin...

If `sin theta=(1)/(2) (a+(1)/(a)) and sin 3 theta=(k)/(2)(a^(3)+(1)/(a^(3)))`, then `k+6` is equal to :

A

3

B

4

C

5

D

-4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    VK JAISWAL ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|4 Videos

  • LOGARITHMS

    VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|7 Videos

  • LIMIT

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|7 Videos

  • MATRICES

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|5 Videos

Similar Questions

Explore conceptually related problems

If sin theta=-(1)/(2) and tan theta=(1)/sqrt(3) then theta is equal to :-

The value of 2 sin^2 theta + k cos^2 2 theta =1 , then k is equal to :

If sin^6 theta + cos^6 theta + k sin^2 2theta =1 , then k is equal to :

sin2theta+(1)/(3)sin^(3)2theta+(1)/(5)sin^(5)2theta+....=

If 1/2 sin^(-1)((3sin2theta)/(5+4cos2theta))=(pi)/4 , then tan theta is equal to

If theta in [(pi)/(2),3(pi)/(2)] then sin^(-1)(sin theta) equals

If (a cos theta_(1), a sin theta_(1)), ( a cos theta_(2), a sin theta_(2)), (a costheta_(3), a sin theta_(3)) represents the vertices of an equilateral triangle inscribed in x^(2) + y^(2) = a^(2) , then

If sin^(3) theta+sin theta cos theta+ cos^(3) theta=1 , then theta is equal to (n in Z)

If (cos^(3) theta )/( (1- sin theta ))+( sin^(3) theta )/( (1+ cos theta ))=1+ cos theta , then number of possible values of theta is ( where theta in [0,2pi] )

Let f_(n)(theta)= 2 sin . (theta)/(2) sin. (3theta)/(2) + 2 sin.(theta)/(2) sin. (5theta)/(2) + 2sin. (theta)/(2) sin. (7 theta)/(2) + ... + 2 sin (2 n+1) (theta)/(2), n in N , then which of the following is/are correct ?

VK JAISWAL ENGLISH-LOGARITHMS -Exercise-5 : Subjective Type Problems
  1. If sin theta=(1)/(2) (a+(1)/(a)) and sin 3 theta=(k)/(2)(a^(3)+(1)/(a^...

    Text Solution

    |

  2. The number N=6^(log(10)40)*5^(log(10)36) is a natural number. Then s...

    Text Solution

    |

  3. The minimum value of 'c' such that log(b)(a^(log(2)b))=log(a)(b^(log(2...

    Text Solution

    |

  4. How many positive integers b have the property that log(b)729 is a pos...

    Text Solution

    |

  5. The number of negative integral values of x satisfying the inequality ...

    Text Solution

    |

  6. (6)/(5)a^((log(a)x)(log(10)a)(log(a)5))-3^(log(10)((x)/(10)))=9^(log(1...

    Text Solution

    |

  7. If log(5)((a+b)/(3))=(log(5)a+log(5)b)/(2),"then" (a^(4)+b^(4))/(a^(2...

    Text Solution

    |

  8. Let a , b , c , d be positive integers such that (log)a b=3/2a n d(log...

    Text Solution

    |

  9. The number of real values of x satisfying the equation log(10) sqrt(...

    Text Solution

    |

  10. The ordered pair (x,y) satisfying the equation x^(2)=1+6 log(4)y and...

    Text Solution

    |

  11. If log(7)log(7) sqrt(7sqrt(7sqrt(7)))=1-a log(7)2 and log(15)log(15) s...

    Text Solution

    |

  12. The number of ordered pair(s) of (x, y) satisfying the equations log...

    Text Solution

    |

  13. If log(b) n = 2 and og(n) 2b = 2, then find the value of b.

    Text Solution

    |

  14. If log(y) x + log(x) y = 2, x^(2)+y = 12 , then the value of xy is

    Text Solution

    |

  15. If x, y satisfy the equation, y^(x)=x^(y) and x=2y, then x^(2)+y^(2)=

    Text Solution

    |

  16. Find the number of real values of x satisfying the equation. log(2)(...

    Text Solution

    |

  17. If x(1), x(2)(x(1) gt x(2)) are the two solutions of the equation 3^...

    Text Solution

    |

  18. Find the number or real values of x satisfying the equation 9^(2log(9)...

    Text Solution

    |

  19. If log(16)(log(root(4)(3))(log(root(3)(5))(x)))=(1)/(2), find x.

    Text Solution

    |

  20. The value [(1)/(6)((2log(10)(1728))/(1+(1)/(2)log(10)(0.36)+(1)/(3)log...

    Text Solution

    |