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Prove that "sin"^(2)30^(@),"sin"^(2)45^(...

Prove that `"sin"^(2)30^(@),"sin"^(2)45^(@),"sin"^(@)60^(@)` are in A.P.

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Prove that: (i) cos^(2)30^(@),cos^(2)45^(@),cos^(2)60^(@) are in A.P. (ii) cot^(2)30^(@),cot^(2)45^(@),cot^(2)60^(@) are in G.P.

prove that: sin ^ (2) 30 ^ (@) + sin ^ (2) 45 ^ (@) + sin ^ (2) 60 ^ (@) = (3) / (2)

Find the value of the following: (i) "sin"^(2)30^(@)+"sin"^(2)45^(@)+"sin"^(2)60^(@)+"sin"^(2)90^(@) (ii) 2"sin"^(2)30^(@)-3cos^(2)45^(@)+cos^(2)60^(@)

Show that : cos^(2)60^(@)-sin^(2)60^(@)=-sin30^(@)

Prove that: sin^(2)A+sin^(2)(60^(@)+A)+sin^(2)(A-60^(@))=3/2

sin60^(@)*sec^(2)45^(@)-3tan30^(@).4sin60^(@)=

4sin^(2)60^(@)+3tan^(2)30^(@)-8sin45^(@)*cos45^(@)

Evaluate sin^(2)45^(@)+cos^(2)60^(@)+cosec^(2)30^(@) .