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Find the value of - (3 - 4 sin^(2)A)/(4 ...

Find the value of - `(3 - 4 sin^(2)A)/(4 cos^(2)A - 3)` If sec `A = (17)/(8)`.

A

`(33)/(611)`

B

`(53)/(78)`

C

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

D

`(17)/(64)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If ( sin^(4) A)/( a ) + ( cos ^(4) A )/( b) = ( 1)/( a+b) ,then the value of ( sin ^(8) A )/( a^(3)) + ( cos ^(8) A )/( b^(3)) is equal to

    A
    `(1)/((a+b)^(3))`
    B
    `(a)/( b^(2))`
    C
    `(a)/( b-a)`
    D
    `(b)/(b-a)`

  • What is the value of expression cos^(2)((pi)/(8))+4cos^(2)((pi)/(4))-sec((pi)/(3))+5tan^(2)((pi)/(3))+sin^(2)((pi)/(8)) ?

    A
    `8`
    B
    `10`
    C
    `16`
    D
    `18`

  • Find the value of 4(sin^(4)30^(@)+cos^(4)30^(@))-3(cos^(2)45^(@)+sin^(2)90^(@)) .

    A
    `-(1)/(2)`
    B
    `-2`
    C
    `2`
    D
    `(1)/(2)`

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