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The greatest integer less than or equal ...

The greatest integer less than or equal to `(1)/(cos 290^(@))+(1)/(sqrt(3)sin 250^(@))` is _________

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
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Prove that (1)/(cos 290^(@))+(1)/(sqrt3 sin 250^(@) )=(4)/(sqrt3)

Show that 1/(sin 10^(@)) - (sqrt(3))/(cos 10^(@)) = 4 .

Knowledge Check

  • The greatest integer less than or equal to (sqrt3+2)^5 is ,

    A
    721
    B
    722
    C
    723
    D
    724

  • The greatest integer less than or equal to (sqrt(3)+2)^(5) is

    A
    721
    B
    722
    C
    723
    D
    724

  • (1)/(cos 290^(@)) + (1)/(sqrt(3)sin 250^(@)) = lambda "then" 3 lambda^(2) =

    A
    16
    B
    4
    C
    `(4)/(sqrt(3))`
    D
    `(16)/(3)`

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    1/(cos290^@)+1/(sqrt3sin250^@)=lamda then 3lamda^2 =

    If [x] denotes the greatest integer less than or equal to x then int_(1)^(oo) [(1)/(1+x^(2))]dx=

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