Home
Class 12
MATHS
Let x =(log(sin 30^(@))cos 30^(@))(log(c...

Let `x =(log_(sin 30^(@))cos 30^(@))(log_(cos30^(@))cot30^(@)) (log_(cot 30^(@))coses 30^(@))` and `y = 3^(log_(cot 30^(@))(|x|+3))` then value of y is equal to-

A

4

B

16

C

12

D

10

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

(log)_(sin30^(@)cos60^(@))=1

Let x=(log_(sin30^0)cos30^0)(log_(cos30^@)cot30^0)(log_(cot30^0)cosec30^0) and y=3^(log_(cot30^0) (|x|+3)) then the value of y is

Knowledge Check

  • What is the value of (sin30^(@)+cos30^(@))/(cos30^(@)-sin30^(@)) ?

    A
    `2-sqrt(3)`
    B
    `sqrt(3)`
    C
    1
    D
    `-(2-sqrt(3))`

  • If cos 2x = cos 60^(@) cos 30^(@) + sin 60^(@) sin 30^(@), then the value of x is

    A
    `15 ^(@)`
    B
    `40^(@)`
    C
    `30^(@)`
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    (sin 30^@)/(1+cos30^@)+ (1+cos30^@)/(sin 30^@) = ?

    Evalutate : sin60^(@) cos 30^(@)+sin30^(@)cos 30^(@) .

    Show that: (cot 30^(@) cot 60^(@) - 1)/(cot 30^(@) + cot 60^(@)) = cot 90^(@)

    (sin30^(@))/(cos45^(@))+(cot45^(@))/(sec60^(@))-(sin60^(@))/(tan45^(@))+(cos30^(@))/(sin90^(@))=

    Find the value of (sin30^(@)+tan45^(@)-csc60^(@))/(sec30^(@)+cos60^(@)+cot45^(@))

    Evaulate : 4-(sin30^(@)+tan45^(@)-"cosec"60^(@))/(sec30^(@)+cos60^(@)+cot45^(@))

    Home
    Profile