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Prove that:sin^(2)30^(@)cos^(2)45^(@)+4t...

Prove that:`sin^(2)30^(@)cos^(2)45^(@)+4tan^(2)30^(@)+(1)/(2)sin^(2)90^(@)+(1)/(8)cot^(2)60^(@)=2`

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Find the value of : sin^(2)30^(@) cos^(2) 45^(@)+4tan^(2)30^(@) + 1/2 sin^(2) 90^(@) + 1/8 cot^(2) 60^(@) .

Find the value of (4sin^(2)60^(@)-cos^(2)45^(@))/(tan^(2)30^(@)+sin^(2)0^(@))

Knowledge Check

  • (2 tan 30^(@))/( 1-tan ^(2) 30^(@)) =

    A
    `cos 60^(@) `
    B
    ` sin 60^(@) `
    C
    ` tan 60^(@) `
    D
    ` sin 30 ^(@) `

  • The value of sin^(2)60^(@)-sin^(2)30^(@) is:

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

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    ( 2tan 30 ^(@) )/( 1+tan ^(2) 45^(@) ) =

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