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Using determinant find the area of the t...

Using determinant find the area of the triangle whose vertices are (a cos `alpha ,b sin alpha` ), (a cos `beta, b sin beta`) and (a cos `gamma, b sin gamma`).

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The correct Answer is:
`=2absin (alpha-beta)/(2) sin (beta-gamma)/(2) sin(gamma-alpha)/(2) ` square unit.
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