Home
Class 14
MATHS
What one of the following is correct ? ...

What one of the following is correct ?
`(1+cos67(1^(@))/(2))(1+cos112(1^(@))/(2))`is

A

An irrational number and is greater than I

B

A rational number but not an integer

C

An integer

D

An irrational number and is less than I

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|163 Videos

  • STATISTICS

    PUNEET DOGRA|Exercise PRE YEAR QUESTIONS |163 Videos

  • VECTOR

    PUNEET DOGRA|Exercise Prev Year Questions|134 Videos

Similar Questions

Explore conceptually related problems

Which of the following is correct? (A) sin1^@>sin1 (B) sin1^@ cos1 (D) cos1^@

Which of the following is/are correct? (A) cos(cos pi)=cos(cos0)(B)cos x+(1)/(cos x)=(3)/(2) for some value of x(C)sqrt(1+102sqrt(1+99.101))=101(D)sin(1)-cos(1)<0

Which of the following is/are correct? tan[cos^(-1)(4)/(5)+tan^(-1)(2)/(3)]=(17)/(6)cos[tan^(-1)(1)/(3)+tan^(-1)(1)/(2)]=(1)/(sqrt(2))cos2tan^(-1)((1)/(3))+cos(tan^(-1)2sqrt(2))=(14)/(15)cos[2cos^(-1)(1)/(5)+sin^(-1)(1)/(5)]=-(2sqrt(6))/(6)

For the principal values,evaluate each of the following :(cos^(-1)1)/(2)+2(sin^(-1)1)/(2) (ii) cos^(-1)((1)/(2))-2sin^(-1)(-(1)/(2))

Find the principal value of each of the following : cos^(-1)(-(sqrt(3))/(2))( ii) cos^(-1)(-(1)/(sqrt(2)))

cos(cos1)>(1)/(sqrt(2))

cos(cos1)>(1)/(sqrt(2))

Which of the following is correct? (1) tan1>tan2(2)tan2>tan1(3)sin1cos2 (4) cos3>cos2

cos ((1) / (2) (cos ^ (- 1) 1) / (8)) =

PUNEET DOGRA-TRIGONOMETRY-PREV YEAR QUESTIONS
  1. What one of the following is correct ? (1+cos67(1^(@))/(2))(1+co...

    Text Solution

    |

  2. If cosec theta=(29)/(21),where 0 lt theta lt 90^@, then what is the va...

    Text Solution

    |

  3. Consider the following sttements: 1. cos theta + sec theta can neve...

    Text Solution

    |

  4. What is the length of the chord of a unit circle which subtends an ang...

    Text Solution

    |

  5. If tanA-tanB=x and cotB-cotA=y, then cot(A-B)=?

    Text Solution

    |

  6. What is sin(alpha+beta) - 2 sin alpha cos beta + sin(alpha- beta) =

    Text Solution

    |

  7. If 2tanA = 3tanB = 1, then what is tan(A-B) equal to?

    Text Solution

    |

  8. What is cos80^@ + cos 40^@ - cos20^@ equal to ?

    Text Solution

    |

  9. What is cot(A//2)-tan (A//2) equal to?

    Text Solution

    |

  10. What is cottheta+ cosecthetaequal to?

    Text Solution

    |

  11. What is tan25^@tan15^@ + tan15^@ tan 50^@ + tan25^@ tan50^@ equal to ?

    Text Solution

    |

  12. If sin theta=-1/2 and tan theta=(1)/(sqrt3) then in which quadrant doe...

    Text Solution

    |

  13. If cos theta + sin theta = sqrt2cos theta," then " cos theta -sin thet...

    Text Solution

    |

  14. In a circle of diameter 44 cm, the length of chord is 22cm. What is th...

    Text Solution

    |

  15. What is (1+tan alpha tan beta)^2+(tan alpha-tan beta)^2-sec^2 alpha" "...

    Text Solution

    |

  16. If p = sectheta - tan theta and q= "cosec"theta + cot theta, then what...

    Text Solution

    |

  17. What is the value of (sin34^@cos236^@-sin56^@sin124^@)/(cos28^@cos...

    Text Solution

    |

  18. tan54^@ can be expressed as

    Text Solution

    |

  19. Consider the following(for next three) items: If p=Xcostheta-Ysinth...

    Text Solution

    |

  20. Consider the following(for next three) items: If p=Xcostheta-Ysinth...

    Text Solution

    |

  21. Consider the following(for next three) items: If p=Xcostheta-Ysinth...

    Text Solution

    |