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Express in the form A + iB (A,B are real...

Express in the form A + iB (A,B are real ): `(1)/(1-cos theta-sin theta)`

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A : The maximum area of the triangle formed by the points (0, 0), (a cos theta, b sin theta), (a cos theta, -b sin theta) is (1)/(2)|ab| . R : Maximum value of sin theta is 1.