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cos 60^(@) sin 30^(@) +cos 30^(@) sin 60...

`cos 60^(@) sin 30^(@) +cos 30^(@) sin 60^(@)=`

A

`90^(@)`

B

`(1)/(2)`

C

`(sqrt(3))/(2)`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
D
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Verify the following equalities: sin 30 ^(@) cos 60 ^(@) + cos 30^(@) sin 60^(@) = sin 90^(@)

Is it right to say that cos ( 60^(@) + 30 ^(@) ) = cos 60^(@) cos 30 ^(@) -sin 60^(@) sin 30 ^(@)

Knowledge Check

  • co60^(@)sin30^(@)+cos30^(@)sin60^(@) =___.

    A
    `1`
    B
    `(1)/(sqrt(2))`
    C
    `(1)/(2)`
    D
    `(sqrt(3))/(2)`
  • The value of (cos 30^(@)+isin 30^(@))/(cos 60^(@)-isin 60^(@)) is equal to

    A
    `i`
    B
    `-i`
    C
    `(1+sqrt(3)i)/(2)`
    D
    `1-(sqrt(3)i)/(2)`
  • The value of ((cos 45^(@) + isin 45^(@))^(2) (cos 30^(@) - isin 30^(@)))/(cos 30^(@) + isin 30^(@)) is

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