Home
Class 12
MATHS
The expression nsin^(2) theta + 2 n cos...

The expression ` nsin^(2) theta + 2 n cos( theta + alpha ) ` `sin alpha sin theta + cos2(alpha + theta ) ` is independent of ` theta ` , the value of n is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|8 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

Show that cos^(2)theta+cos^(2)(alpha+theta)-2cos alpha cos theta cos (alpha+beta) is independent of theta .

The Ieast value of 2sin^2theta + 3 cos^2 theta is

Prove that : sin 2 theta= 2sin theta cos theta .

Find sin 2 theta when sin theta + cos theta= 1 .

Express sin^(5)theta in term of sin ( n theta), n in N .

sin^2theta+cos^2theta=1 .

Find dy/dx when x = a (cos theta + theta sin theta) , y = a (sin theta - theta cos theta).

If A=2 sin^2 theta - cos 2 theta and A in [alpha, beta] , then find the values of alpha and beta.

sin(3theta+alpha)+sin(3theta-alpha)+sin(alpha-theta)-sin(alpha+theta)=cosalpha

If tan theta=(sin alpha- cos alpha)/(sin alpha+cos alpha) , then:

ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
  1. The number of solutions of the equation cos 4x+6=7 cos 2x , when x ...

    Text Solution

    |

  2. The number of solutions of cot(5pi sin theta )=tan (5 pi cos theta ),...

    Text Solution

    |

  3. If e^[(sin^(2)x+sin^(4) x +sin^(6)x+.... oo) loge2] satisfies the equ...

    Text Solution

    |

  4. The total number of solutions of cos x= sqrt(1- sin 2x) in [0, 2pi] is...

    Text Solution

    |

  5. Solve : cos 3x. Cos^(3)x+sin 3x.sin^(3)x=0

    Text Solution

    |

  6. Total number of solutions of sinx=(|x|)/(10) is equal to

    Text Solution

    |

  7. The number of all possible 5-tuples (a(1),a(2),a(3),a(4),a(5)) such th...

    Text Solution

    |

  8. alpha and beta are two positive value of x for which 2 cos x,|cos x...

    Text Solution

    |

  9. If cos x-(cot beta sinx )/( 2 )=sqrt(3)/(2) , then the value of tan...

    Text Solution

    |

  10. The expression nsin^(2) theta + 2 n cos( theta + alpha ) sin alph...

    Text Solution

    |

  11. The value of the determinants |{:(1,a,a^(2)),(cos(n-1)x,cos nx , cos(n...

    Text Solution

    |

  12. If sin (3alpha) /cos(2alpha) < 0 If alpha lies in

    Text Solution

    |

  13. If f(x)=|{:( sin^2 theta , cos^(2) theta , x),(cos^(2) theta , x , sin...

    Text Solution

    |

  14. The equation sin x + sin y + sin z =-3 "for " 0 le x le 2pi , 0 le y l...

    Text Solution

    |

  15. If sec x cos 5x+1=0 , where 0lt x ltπ/2, then x=

    Text Solution

    |

  16. If |k|=5 and 0^(@) le theta le 360^(@) , then the number of different...

    Text Solution

    |

  17. If "cot"(alpha+beta=0, then "sin"(alpha+2beta can be

    Text Solution

    |

  18. If : cot theta + cot((pi)/4 + theta) = 2, then : theta =

    Text Solution

    |

  19. If cos 2 theta =(sqrt(2)+1)( cos theta -(1)/(sqrt(2))), then the valu...

    Text Solution

    |

  20. Evaluate int(sin^2x + cos^2x)dx

    Text Solution

    |