Evaluate `tan{(-1)^n pi/4}` where n is an integer

Evaluate sin{ n pi+(-1)^(n) (pi)/(4) , where n is an integer.

Evaluate sin{ n pi+(-1)^(n) (pi)/(4) , where n is an integer.

Evaluate sin{ n pi+(-1)^(n) (pi)/(4) , where n is an integer.

Evaluate sin{ n pi+(-1)^(n) (pi)/(4) , where n is an integer.

Prove that : tan^(-1) (e^(itheta)) = (n pi)/2 + pi/4 +i/2 ln" tan(pi/4 + theta /2) ,where n is an integer.

Prove that : tan^(-1) (e^(itheta)) = (n pi)/2 + pi/4 +i/2 ln" tan(pi/4 + theta /2) ,where n is an integer.

Evaluate: tan{2t a n-1 1/5+pi/4}

If 2 tan^(-1)(costheta) = tan^(-1)(2 cosec theta) , then show that theta = (pi)/(4) , when n is an y integer.

If 2 tan^(-1)(costheta) = tan^(-1)(2 cosec theta) , then show that theta = (pi)/(4) , when n is an y integer.