" यद्दि "tan^(-1)(1)/(2)+tan^(-1)2=alpha" तो सिद्ध कीजिए कि "alpha=90^(@)

If tan^(-1)((1)/(2))+tan^(-1)2=alpha, then prove that alpha=90^(@)

If tan^(-1)(alpha+i beta)=a+ib, then a= 1). (1)/(2)tan^(-1)((2 alpha)/(1-alpha^(2)-beta^(2))) 2) . (1)/(2)tan^(-1)((2 alpha)/(1+alpha^(2)+beta^(2))) 3). tan^(-1)((2 alpha)/(1-alpha^(2)-beta^(2))) 4). (1)/(2)tan^(-1)((2 beta)/(1+alpha^(2)+beta^(2)))

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

tan^(2)alpha=1-p^(2) then sec alpha+tan^(3)alpha*cos ec alpha

If tan beta =(n tan alpha )/(1+(1-n) tan^(2) alpha ) , then tan(alpha-beta)=

(sin^(2)alpha)/(1+cot^(2) alpha) + (tan^(2)alpha)/((1+tan^(2) alpha)^(2)) + cos^(2) alpha =

Prove that: tan alpha +2tan 2alpha+ 2^(2)tan 2^(2)alpha +..... + 2^(n-1) tan 2^(n-1)alpha + 2^n cot 2^n alpha=cotalpha .

If 2tan^(2)alpha tan^(2)beta tan^(2)gamma+tan^(2)alpha tan^(2)beta+tan^(2)beta tan^(2)gamma+tan^(2)gamma tan^(2)alpha=1 prove that sin^(2)alpha+sin^(2)beta+sin^(2)gamma=1

Prove that sin 4alpha = 4 tan alpha (1 - tan^(2) alpha)/((1 + tan^(2) alpha)^(2))

If tan beta=(n tan alpha)/(1+(1-n)tan^(2)alpha), then tan(alpha-beta)=(1)(1+n)tan alpha(1-n)tan alpha( ii) -(1+n)tan alpha( iv) -(1-n)tan alpha