Home
Class 11
MATHS
The number of solutions of 12cos^3x-7cos...

The number of solutions of `12cos^3x-7cos^2x+4cosx=9` is (a) 0 (b) 2 (c) infinite (d) none of these

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

The number of solutions of 2cosx=|sinx|,0lt=xlt=4pi, is (a) 0 (b) 2 (c) 4 (d) infinite

cosx + cos2x + cos3x=0

The number of solutions of sqrt(3x^(2)+x+5)=x-3 is (A) 0 (B) 1 (C) 2 (D) 4

The total number of solution of cosx=sqrt(1-sin2x) in [0,2pi] is equal to (a) 2 (b) 3 (c) 5 (d) none of these

The number of real solutions of the (log)_(0. 5)|x|=2|x| is (a) 1 (b) 2 (c) 0 (d) none of these

Number of real solutions of sqrt(x)+sqrt(x-sqrt(1-x))=1 is (a) 0 (b) 1 (c) 2 (d) infinite

The number of real solutions of the (log)_(0. 5)(x)=|x| is (a) 1 (b) 2 (c) 0 (d) none of these

The number of solution of sinx+sin2x+sin3x=cosx+cos2x+cos3x ,0lt=xlt=2pi, is

cos 3x + cos x - cos 2x =0

The number of real solutions of the equation (9//10)^x=-3+x-x^2 is a. 2 b. 0 c. 1 d. none of these

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If area of ΔA B C(Δ) and angle C are given and if the side c opposite...

    Text Solution

    |

  2. Let P Q and R S be tangent at the extremities of the diameter P R of...

    Text Solution

    |

  3. The number of solutions of 12cos^3x-7cos^2x+4cosx=9 is (a) 0 (b) 2 (...

    Text Solution

    |

  4. If the sines of the angles A and B of a triangle ABC satisfy the equ...

    Text Solution

    |

  5. tan(/B A O)=3, then find the ratio B C : C Adot

    Text Solution

    |

  6. The sum of all the solutions of cottheta=sin2theta(theta!=npi, n inte...

    Text Solution

    |

  7. In triangle, A B Cif2a^2b^2+2b^2c^2=a^4+b^4+c^4, then angle B is equa...

    Text Solution

    |

  8. If angle C of triangle ABC is 90^0, then prove that tanA+tanB=(c^2)/(a...

    Text Solution

    |

  9. The system of equations tanx=acotx ,tan2x=bcosy (a)cannot have a so...

    Text Solution

    |

  10. The sides of A B C satisfy the equation 2a^2+4b^2+c^2=4a b+2ac Then a...

    Text Solution

    |

  11. By geometrical interpretation, prove that tan(alpha+beta)=(tanalph...

    Text Solution

    |

  12. The equation 2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2la...

    Text Solution

    |

  13. If sides of triangle A B C are a , ba n dc such that 2b=a+c then b/c >...

    Text Solution

    |

  14. By geometrical interpretation, prove that (i) sin(alpha+beta)=si...

    Text Solution

    |

  15. If theta=pi/(2^n+1) , prove that: 2^ncosthetacos2thetacos2^2 cos2^(n-1...

    Text Solution

    |

  16. Let f(x)=cos(a1+x)+1/2cos(a2+x)+1/(2^2)cos(a3+x)+ ........+ 1/(2^(n-1)...

    Text Solution

    |

  17. Three circle touch one another externally. The tangents at their point...

    Text Solution

    |

  18. Prove that tan20^0tan40^0tan80^0=tan60^0

    Text Solution

    |

  19. If cottheta+tantheta=x and sectheta-costheta=y , prove that (x^2y)^(...

    Text Solution

    |

  20. The solution of the system of equations sinxsiny=(sqrt(3))/4,cosxcosy=...

    Text Solution

    |