Home
Class 12
MATHS
Let P(x)=cot^(2)x ((1+tanx+tan^(2)x)/(1+...

Let `P(x)=cot^(2)x ((1+tanx+tan^(2)x)/(1+cot x+ cot^(2)x))+((cos x-cos 3x+sin3x-sin x)/(2(sin 2x+cos2x)))^(2)`. Then, which of the following is (are) correct ?

A

The value of `P(18^(@))+P(72^(@))` is 2.

B

The value of `P(18^(@))+P(72^(@))` is 3.

C

The value of `P((4pi)/(3))+P((7pi)/(6))` is 3.

D

The value of `P((4pi)/(3))+P((7pi)/(6))` is 2.

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

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

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|53 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

cot x cos^(2)x-tan x sin^(2)x=2cot2x

(sin 2x)/(1- cos 2x ) = cot x

(cos^(3) x- sin^(2) x)/(cos x - sin x)=(1)/(2) (2 + sin 2x)

(cos2x-1)cot^(2)x=-3sin x

1- (sin ^ (2) x) / (1 + cot x) + (cos ^ (2) x) / (1 + tan x) = sin x cos x

1- (sin ^ (2) x) / (1 + cot x) - (cos ^ (2) x) / (1 + tan x) = sin x cos x

(cos4x+cos3x+cos2x)/(sin4x+sin3x+sin2x)=cot3x

sin 2x (tan x + cot x) = ?

f_(1)(x)=sin^(-1)(cos(sin^(2)x)),f_(2)(x)=cos^(-1)(sin(cos^(2)x)),f_(3)(x)=sin^(-1)(cos^(2)x)),f_(4)(x)=cos^(-1)(sin^(2)x)* Then which of the following is/are correct?

(1+sin x+cos x+sin2x+cos2x)/(tan2x)=0

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (More Than One Correct Option Type Questions)
  1. Let f(n)(theta)= 2 sin . (theta)/(2) sin. (3theta)/(2) + 2 sin.(theta)...

    Text Solution

    |

  2. Let P=sin 25^(@) sin 35^(@)sin 60^(@) sin 85^(@) and Q=sin20^(@)sin40...

    Text Solution

    |

  3. let 0ltphiltpi/2, x=sum(n=0)^oocos^(2n)phi, y=sum(n=0)^oosin^(2n)phi a...

    Text Solution

    |

  4. Let P(x)=cot^(2)x ((1+tanx+tan^(2)x)/(1+cot x+ cot^(2)x))+((cos x-cos ...

    Text Solution

    |

  5. It is known that sinbeta=4/5 and 0 < beta < pi then the value of (sqrt...

    Text Solution

    |

  6. In cyclic quadrilateral ABCD, if cot A=3/4 and tan B= (-12)/(5), then ...

    Text Solution

    |

  7. If the equation 2cos^(2)x+cosx-a=0 has solutions, then a can be

    Text Solution

    |

  8. If A=sin 44^(@)+cos44^(@), B=sin45^(@)+ cos45^(@) and C= sin46^(@)+cos...

    Text Solution

    |

  9. If tan(2alpha+beta)=x & tan(alpha+2beta)=y, then [ tan3(alpha+beta)]. ...

    Text Solution

    |

  10. If x=secphi-tanphi and y=cosecphi+cotphi then

    Text Solution

    |

  11. If tan(x/2)=cosec x-sin x, thentan^(2)(x/2) is equal to

    Text Solution

    |

  12. If y=(sqrt(1-sin4x)+1)/(sqrt(1+sin 4x)-1), then y can be

    Text Solution

    |

  13. If 3sinbeta=sin(2alpha+beta) then

    Text Solution

    |

  14. Let P(n)(u) be a polynomial is u of degree n. Then, for every positive...

    Text Solution

    |

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

    Text Solution

    |

  16. If cos 5theta=a cos theta + b cos^(3)theta+c cos^(5) theta+d, then

    Text Solution

    |

  17. x=sqrt(a^2cos^2alpha+b^2sin^2alpha)+sqrt(a^2sin^2alpha+b^2cos^2alpha) ...

    Text Solution

    |

  18. If n is an odd positive interger, then ((cosA+cosB)/(sinA-sinB))^(n)...

    Text Solution

    |

  19. Let P(k)=(1+cospi/(4k)) (1+cos((2k-1)pi)/(4k)) (1+cos((2k+1)pi)/(4k))...

    Text Solution

    |

  20. if x = a cos^3 theta sin^2 theta and y = a cos^2 theta sin^3 theta an...

    Text Solution

    |