Home
Class 12
MATHS
General solution of the equation sin5the...

General solution of the equation `sin5theta+cos4theta=2` is (1) `(4n+1)pi/2,n in I` (2) `(4n-1)pi/2,n in I` (3) `(2n+1)pi/2,n in I` (4) `(6n+1)pi/2,n in I`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

One of the general solutions of 4sinthetasin2thetasin4theta=sin3theta is (3n+-1)pi/(12),AAn in Z (4n+-1)pi/9,AAn in Z (3n+-1)pi/(12),AAn in Z (3n+-1)pi/3,AAn in Z

The general solution of the equation sin^(100)x-cos^(100)x=1 is (a) 2npi+pi/3,n in I (b) n pi+pi/2,n in I (c) npi+pi/4,n in I (d) 2npi=pi/3,n in I

The roots of the equation cot x-cosx=1-cot xcos x are (1) npi+pi/4,n in I (2) 2npi+pi/4,n in I (3) 2npi+-pi or npi+pi/4,n in I (4) 2npi+pi or (4n+1)pi/4,n in I (5) npi,n in I

A general solution of tan^2theta+cos2theta=1 is (n in Z) npi=pi/4 (b) 2npi+pi/4 npi+pi/4 (d) npi

The solution of the equation sin^3x+sinxcosx+cos^3x=1 is (n∈N) (a) 2npi (b) (4n+1)pi/2 (c) (2n+1)pi (d) None of these

The value(s) of theta, which satisfy the equation : 2cos^3 3theta+4=3sin^2 3theta is/are (a) (2npi)/3+(2pi)/9,\ n in I (b) (2npi)/3-(2pi)/9,\ n in I\ (2npi)/5+(2pi)/5,\ n in I\ (d) (2npi)/5-(2pi)/5,\ n in I

General solution for |sinx|=cosx is (a) 2npi+pi/4,\ n in I (b) 2npi+-pi/4, n in 1 (c) npi+pi/4,\ n in 1 (d) none of these

The general solution of the equation 7cos^2theta+3sin^2theta=4 is theta=2npi+-pi/6,\ n Z b. theta=2npi+-(2pi)/3,\ n Z c. theta=2npi+-pi/3,\ n Z d. none of these

The value(s) of theta , which satisfy 3-2\ costheta-4sintheta-cos2theta+sin2theta=0 is/are theta=2npi; n in I (b) 2npi+pi/2; n in I 2npi-pi/2; n in I (d) npi: n in I

The domain of definition of the function f(x)=sqrt(-cosx)+sqrt(sinx) is: [2npi,2npi+pi/2],n in I b. [2npi,(2n+1)pi],n in I c. [2n+1/2pi(2n+1)pi],n in I d. [(2n+1)pi,(2n+3/2)pi],n in I

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let A (0,2),B and C be points on parabola y^(2)+x +4 such that /CBA (...

    Text Solution

    |

  2. If lines (x-3)/1=(y-[K])/2=(z-1)/1 and (x-1)/2=(y+1)/3=(z-1)/4 interse...

    Text Solution

    |

  3. General solution of the equation sin5theta+cos4theta=2 is (1) (4n+1)pi...

    Text Solution

    |

  4. If vec a , vec b , vec c are unit vector, prove that | vec a- vec b|^...

    Text Solution

    |

  5. Sum of the series : 1^3+2^3+4^3+5^3+7^3+...+59^3

    Text Solution

    |

  6. The focal distance of the point (9,6) on the parabola y^(2)=4x is

    Text Solution

    |

  7. Write the negative of the compound proposition p vv(~pvvq)

    Text Solution

    |

  8. If f(x)=x^3+2x^2+3x+4 and g(x) is the inverse of f(x) then g^(prime)(4...

    Text Solution

    |

  9. The probability that at least one of the events Aa n dB occurs is 0.6....

    Text Solution

    |

  10. If A=1/3|[1, 2, 2], [2, 1,-2],[a,2,b]| is an orthogonal matrix, then ...

    Text Solution

    |

  11. If a circle of constant radius 3k passes through the origin O and meet...

    Text Solution

    |

  12. The coefficient of x^3 in the expansion of 3/((1+3x)^3)i s

    Text Solution

    |

  13. If the equation ax^2+2bx+c=0 and ax^2+2cx+b=0 b!=c have a common root ...

    Text Solution

    |

  14. Normal drawn at P(t), having negative ordinate, to parabola y^2=16 x m...

    Text Solution

    |

  15. A chess game between two grandmasters X and Y is won by whoever first ...

    Text Solution

    |

  16. The graph of the function y=16x^2+8(a+5)x-7a-5 is strictly above the x...

    Text Solution

    |

  17. Find the values of a and b such that the function defined by f(x)={...

    Text Solution

    |

  18. In a geometric progression with common ratio q, the sum of the firs...

    Text Solution

    |

  19. In a set of real numbers a relation R is defined as xRy such tha...

    Text Solution

    |

  20. "If" I=int0^x(t^2dt)/((x-sinx)sqrt(a+t))a n d(lim)(xvec0)I=1, then ...

    Text Solution

    |