1.

The value of expression (1+ sin 2 alpha)/(cos (2 alpha -2pi) tan (alpha -(3pi)/(4)))- 1/2 sin 2 alpha (cot ""(alpha)/(2) + cot ((3pi)/(2)+(alpha)/(2))) is

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`SIN ^(2) "" (ALPHA)/(2)`
`sin ^(2) alpha`

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