Home
Class 12
MATHS
The expression sqrt(sin^4 1^@+2+2cos 2...

The expression `sqrt(sin^4 1^@+2+2cos 2^@)+sqrt(cos^4 1^@-2cos2^@+2)` simplifies to :-

A

An irrational number

B

A prime number

C

A composite number which is not prime

D

`sin1^@+cos1^@`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The expression sqrt(sin^(4)(37.5)^(@)+4cos^(2)(37.5)^(@)) +sqrt(cos^(4)(37.5)^(@)+4sin^(2)(37.5)^(@)) simplifies to

Find int(sin2xcos2xdx)/(sqrt(9-cos^(4)(2x)))

cos 4x =1- 8 sin ^(2) x cos ^(2) x

For x in (-pi, pi) find the value of x for which the given equation (sqrt 3 sin x + cos x)^(sqrt(sqrt3 sin 2 x-cos 2 x+2))=4 is satisfied.

(cos 45^(@))=1/(sqrt(2))

Prove that, sin65^(@)+cos65^(@)=sqrt(2)cos20^(@)

Integrate the functions sqrt(sin2x)cos2x

The number of real solutions of the equation sqrt(1+cos2x)=sqrt2cos^(-1)(cosx) in [pi/2,pi] is _____

Solve sin^(-1) x - cos^(-1) x = cos ^(-1). sqrt3/2 .

The total number of solutions of cos x= sqrt(1- sin 2x) in [0, 2pi] is equal to

ALLEN -TEST PAPER-MATHS
  1. Select the INCORRECT order of EN of following species :

    Text Solution

    |

  2. Select the CORRECT order of E.A. ?

    Text Solution

    |

  3. Select the CORRECT order of I.E.2 ?

    Text Solution

    |

  4. Select the CORRECT order according to given property ?

    Text Solution

    |

  5. Which of the following species exist as liquid at room temperature ?

    Text Solution

    |

  6. Which of the following statement is CORRECT ?

    Text Solution

    |

  7. Select the CORRECT order of lattice energy ?

    Text Solution

    |

  8. If "sin 6A + sin 2A"/"cos 6A + cos 2A"=tan (lambdaA) where lambda in I...

    Text Solution

    |

  9. If the expression sqrt(log^2x)+sqrt(4 cos^2 y-4 cos y+1) takes its lea...

    Text Solution

    |

  10. Identify the incorrect option ("log"10 3=0.4771)

    Text Solution

    |

  11. If sin^6 theta+sin^4 theta+cos^6 theta+cos^4 theta is written in the f...

    Text Solution

    |

  12. If x=3 prod(r=2)^(n) log((2n-1))(2n+1) then the value of log3|cospix| ...

    Text Solution

    |

  13. Solve 7^(log x) + x^(log 7)=98

    Text Solution

    |

  14. The number of solutions of the equation log7(x+2)=log49(4-x) is :-

    Text Solution

    |

  15. The value of ("sin"(2pi)/9-"sin"(35pi)/(36))/("cos"(2pi)/9+"cos"(35pi)...

    Text Solution

    |

  16. The expression sqrt(sin^4 1^@+2+2cos 2^@)+sqrt(cos^4 1^@-2cos2^@+2) ...

    Text Solution

    |

  17. If 25^(log5cos x)=a and e^(ln(-sinx))=b then the correct option is (wh...

    Text Solution

    |

  18. The value of (3 tan 5^@-tan^3 5^@)/(1-3tan^2 5^@) is :-

    Text Solution

    |

  19. If log2 log3 log4 (x+1) =0, then x is :-

    Text Solution

    |

  20. if roots of the equation log2^2x-100 log2 x+3=0 and x1 and x2 then num...

    Text Solution

    |