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[sqrt2(cos56^(@)15+isin56^(@)15')]^(8)...

`[sqrt2(cos56^(@)15+isin56^(@)15')]^(8)`

A

1

B

i

C

16

D

16i

Text Solution

Verified by Experts

The correct Answer is:
D
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Prove that 4(cos66^(@)+sin84^(@)) = sqrt(3) + sqrt(15) .

Knowledge Check

  • cos^(2) 45^(@) - sin^(2) 15^(@)=

    A
    `0`
    B
    `1//sqrt(2)`
    C
    `sqrt(3)//2`
    D
    `sqrt(3)//4 `

  • Cos15^(@) - Cos75^(@) =

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

  • cos 15^(@) - cos 75^(@) =

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

    • Similar Questions

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    Find the value of tan56^(@)-tan11^(@)-tan56^(@).tan11^(@) .

    (cos 15^(@) + sin 15^(@))/(cos 15^(@) - sin 15^(@)) =

    ( sin 75^(@) - sin 15^(@))/( cos 15^(@) - cos 75^(@))=

    If A= cos 15^(@) - cos 75^(@) , B= tan 15^(@) + tan 75^(@) , C=cos^(2) 45^(@) - sin^(2) 15^(@) then ascending order is

    cos 56 ^(@) + cos 58^(@) - cos 66^(@) - 4 cos 28^(@) cos 29^(@) sin 33 ^(@) =

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