Home
Class 11
MATHS
Let P(x)=((1-cos2x+sin2x)/(1+cos2x+sin2x...

Let `P(x)=((1-cos2x+sin2x)/(1+cos2x+sin2x))^2+((1+cotx+cot^2x)/(1+tanx+tan^2x)),` then the minimum value of `P(x)` equal 1 (b) 2 (c) 4 (d) 16

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

Let P(x)=((1-cos2x+sin2x)/(1+cos2x+s in2x))^2+((1+cotx+cot^2x)/(1+tanx+tan^2x)), then the minimum value of P(x) equal 1 (b) 2 (c) 4 (d) 16

inte^x(2-sin2x)/(1-cos2x)dx

If A=e^(cos(cos^(-1)(x^(2))+tan (cot^(-1)(x^(2)) then find the minimum value of A

int(sin2x)/((1+cos2x)^(2))dx

If ((1+cos2x))/(sin2x)+3(1+(tanx)tan.(x)/(2))sin x=4 then the value of tanx can be equal to

lim_(x->0)(x^4(cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)) is equal to (a) 1 (b) 0 (c) 2 (d) none of these

Show that '(1-cos 2x + sin x)/(sin 2x + cos x) = tan x'

("lim")_(x to 0)(x^4((cot^4x-cot^2x+1)/(tan^4x-tan^2x+1)))"is equals to" (a)1 (b) 0 (c) 2 (d) none of these

If tan(cotx)=cot(tanx), then sin2x is equal to

If lim_(xto0) (p sin2x+(1-cos2x))/(x+tanx)=1 , then the value of p is___________.

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If in A B C ,A C is double of A B , then the value of cot(A/2)cot((...

    Text Solution

    |

  2. If 3tan(theta-15^0)=tan(theta+15^0), then theta is equal to n in Z) ...

    Text Solution

    |

  3. Let P(x)=((1-cos2x+sin2x)/(1+cos2x+sin2x))^2+((1+cotx+cot^2x)/(1+tanx+...

    Text Solution

    |

  4. prove that 1/(secA-tanA)-1/(cosA)=1/(cosA)-1/(secA+tanA)

    Text Solution

    |

  5. Number of solution(s) satisfying the equation 1/(sinx)-1/(sin2x)=2/(si...

    Text Solution

    |

  6. If in A B C , side a , b , c are in A.P. then B > 60^0 (b) B<60^0 B...

    Text Solution

    |

  7. The value of sin^3 10^0+sin^3 50^0-sin^3 70^0 is equal to (a)-3/2 ...

    Text Solution

    |

  8. Show That 2(sin^6x+cos^6x)-3(sin^4x+cos^4x)+1=0

    Text Solution

    |

  9. If the hypotenuse of a right-angled triangle is four times the length ...

    Text Solution

    |

  10. The number of roots of (1-tantheta)(1+sin2theta)=1+tanthetafortheta in...

    Text Solution

    |

  11. If cosx=tany ,cosy=tanz ,cosz=tanx , then the value of sinx is (a)2...

    Text Solution

    |

  12. If tan theta+sin theta=m and tan theta-sin theta=n , then (a) m^2-n^2=...

    Text Solution

    |

  13. If one side of a triangle is double the other, and the angles on op...

    Text Solution

    |

  14. Number of roots of the equation (3+cos"x")^2=4-2sin^8x ,x in [0,5pi]a ...

    Text Solution

    |

  15. The side of a triangle inscribed in a given circle subtends angles alp...

    Text Solution

    |

  16. If sin2theta=cos3theta"and"theta is an acute angle, then sintheta eq...

    Text Solution

    |

  17. With usual notations, in triangle A B C ,acos(B-C)+bcos(C-A)+c"cos"(A-...

    Text Solution

    |

  18. 3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta+cos^6theta)...

    Text Solution

    |

  19. If tantheta=sqrt n, where n in N, >= 2, then sec2theta is always (a)...

    Text Solution

    |

  20. The value of cosycos(pi/2-x)-cos(pi/2-y)cosx+sinycos(pi/2-x)+cosxsin(p...

    Text Solution

    |