Home
Class 12
MATHS
If A=sin 44^(@)+cos44^(@), B=sin45^(@)+ ...

If `A=sin 44^(@)+cos44^(@), B=sin45^(@)+ cos45^(@)` and `C= sin46^(@)+cos 46^(@)`. Then, correct option(s) is/are

A

`A lt B lt C`

B

`C lt B lt A`

C

`B gt A`

D

`A=C`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|13 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|52 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • VECTOR ALGEBRA

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

Similar Questions

Explore conceptually related problems

Evaluate cos45^(@)cos30^(@)+sin45^(@)sin30^(@) .

Prove that: sin 105 ^(@) + cos 105 ^(@) = cos 45 ^(@)

If A=sin45^0+cos45^0a n d B=sin44^0+cos44^0, then (a)A>B (b) A=B

cos (A +B) + sin (A -B) = 2 sin (45 ^(@) + A) cos ( 45 ^(@) + B).

If cot 3x= sin 45^(@) cos 45 ^(@) + cos 60 ^(@) , find the value of x between 0^(@) and 90 ^(@)

Find the value of cos ^(2) 45 ^(@) - sin ^(2) 15 ^(@).

Evaluate : (tan45^(@))/(2sin30^(@)-cos60^(@))

Prove that : (i) sin 60^(@) = 2 sin 30^(@) cos 30^(@) (ii) 4(sin^(4) 30^(@) + cos^(4) 60^(@)) - 3(cos^(2)45 - sin^(2)90^(@)) = 2

sin (A - 45 ^(@) ) = (1)/( sqrt2) (sin A - cos A)

ARIHANT MATHS ENGLISH-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (More Than One Correct Option Type Questions)
  1. Suppose cos x = 0 and cos(x+z)=1/2. Then, the possible value (s) of z ...

    Text Solution

    |

  2. Let f(n)(theta)= 2 sin . (theta)/(2) sin. (3theta)/(2) + 2 sin.(theta)...

    Text Solution

    |

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

    Text Solution

    |

  4. For 0ltphilt(pi)/(2)" if " x=sum(n=0)^(oo)cos^(2n) phi,y=sum(n=0)^(oo)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. If x=secphi -tanphi and y="cosec" phi+cotphi, then show that xy+x-y+1...

    Text Solution

    |

  12. If tan(x/2)=cosec x-sin x, then find the value of tan^(2) (x/2).

    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 5 theta = a cos^(5)theta + b cos^(3)theta+c cos theta. Then, fi...

    Text Solution

    |

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

    Text Solution

    |

  18. Prove that ((cos A+cos B)/(sinA-sinB))^(n)+((sinA+sinB)/(cos A-cosB))^...

    Text Solution

    |

  19. Let p(k)=(1+cos((pi)/(4k)))(1+cos((2k-1)pi)/(4k)) (1+cos""((2k+1)pi)...

    Text Solution

    |

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

    Text Solution

    |