" If "tan((alpha pi)/(4))=cot((beta pi)/(4))," then "

If tan^(3) (alpha/2+ pi/4) = tan(beta/2 +pi/4) then prove that sin beta = ((3 + sin^(2)alpja) sin alpha) /(1 + 3sin^(2)alpha)

If alpha=tan^(-1)(tan(5 pi)/(4)) and beta=tan^(-1)(-tan(2 pi)/(3)), then 4 alpha=3 beta(b)3 alpha=4 beta(c)alpha-beta=74 alpha=(3 beta)/(12) none of these

If sin (alpha + beta) = 4/5 , cos (alpha - beta) = (12)/(13) 0 lt alpha lt (pi)/(4), 0 lt beta lt (pi)/(4), find tan 2 alpha .

If tan alpha=(x)/(x+1) and tan beta=(1)/(2x+1), then alpha+beta is equal to pi/2(b)pi/3(c)pi/6(d)pi/4

If tan alpha=(x)/(x+1) andtan beta=(1)/(2x+1), then alpha+beta is equal to (pi)/(2) b.(pi)/(3) c.(pi)/(6) d.(pi)/(4), then alpha+beta

Prove taht {(1-cot^(2)((alpha-pi)/(4)))/(1+cot^(2)((alpha-pi)/(4)))+cos((alpha)/(2))cot(4 alpha)}sec((9 alpha)/(2))=cos ec4 alpha

If sin^(2) theta=(cos 2 alpha cos 2 beta)/(cos^(2)(alpha+ beta)) then, show that one value of "tan"^(2) (theta)/(2) " is " "tan" ((pi)/(4)-alpha) "tan" ((pi)/(4)+beta) .

If alpha+dot(beta)=(pi)/(4), then the value of (1+tan alpha)(1+tan beta)

If cos (alpha+beta)=(4)/(5), sin (alpha-beta)=(5)/(13) and 0 lt alpha , beta lt(pi)/(4), then tan 2 alpha=