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" (vi) "(1+sin alpha)/(1-sin alpha)=tan^...

" (vi) "(1+sin alpha)/(1-sin alpha)=tan^(2)((pi)/(4)+(alpha)/(2))

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If pi

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

Givent that (pi)/(2)

The expression (sin alpha+cos alpha)/(cos alpha-sin alpha) tan((pi)/(4)+alpha)+1, alpha in (-(pi)/(4), (pi)/(4)) simplifies to :

The expression (sin alpha+cos alpha)/(cos alpha-sin alpha) tan((pi)/(4)+alpha)+1, alpha in (-(pi)/(4), (pi)/(4)) simplifies to :

(1-2sin^(2)alpha)/(1+sin2 alpha)=(1-tan alpha)/(1+tan alpha)

(1-2sin^(2)alpha)/(1+sin2 alpha)=(1-tan alpha)/(1+tan alpha)

Evaluate tan^(-1)((3sin 2alpha)/(5+3cos2alpha)) +tan^(-1)((1)/(4)tan alpha) , where, -(pi)/(2) lt alpha lt (pi)/(2) .