If `sin^(-1)alpha=tan^(-1)((3)/(4)),` then` alpha` equals:

if (1+tan alpha)(1+tan4 alpha)=2 where alpha in(0,(pi)/(16)) then alpha equal to

If alpha is only real root ofthe equation x^(3)+(cos1)x^(2)+(sin1)x+1=0, then (tan^(-1)alpha+(tan^(-1)1)/(alpha)) canot be equal to-

If alpha in(-(3 pi)/(2),-pi), then the value of tan^(-1)(cot alpha)-cot^(-1)(tan alpha)+sin^(-1)(sin alpha)+cos^(-1)(cot alpha) is equal to (a)2 pi+alpha(b)pi+alpha(c)0(d)pi-alpha

If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cot alpha)-cot^(-1)(tan alpha)+sin^(-1)(sin alpha)+cos^(-1)(cos alpha) is equal to

Evaluate: tan^(-1)((3sin2 alpha)/(5+3cas2 alpha))+tan^(-1)((1)/(4)tan alpha)

If sin(alpha+beta)=1,sin(alpha-beta)=(1)/(2) where alpha,beta in[0,(pi)/(2)], then tan(alpha+2 beta)tan(2 alpha+beta) is equal to

If (1+ tan alpha)(1+ tan 4alpha)=2, alpha in (0, pi//16) , then alpha is equal to:

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

tan{(pi)/(4)+1/2cos^(-1)alpha}+tan{(pi)/(4)-1/2cos^(-1)alpha} alpha ne 0 is equal to