√3tana=1 find value of sin^2a-cas^2a
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Refer to the attachment for the table of values.
√3 tan A = 1
==> tan A = 1 / √3
==> tan A = tan 30 degrees
A = 30 degrees
sin^2 A =
==> sin^2 30 degree
==> (1 / 2)^2
==> 1/ 4..............................(1)
cos^2 A
==> cos^2 30 degrees
==> = (√3/2)^2
==> 3 / 4...............................(2)
sin^2 A - cos^2 A [ See 1 and 2 ]
==> 1 / 4 - 3 / 4
==> ( 1 - 3 ) / 4
==> - 2 / 4
==> - 1 / 2
The value is - 1 / 2
Hope it helps you
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