[" Let "a=sin^(-1)((36)/(85))*A=cos^(-1)((4)/(5))" and "y=tan^(-1)((8)/(15))," find "(a+beta+gamma)" and hence prove that "],[[" (i) "sum_(" cota ")=Pi_(" cot "alpha)," (ii) "sum_(" tan ")" a tan "beta=1,]]

Let alpha=sin^(-1)(36/85), beta=cos^(-1)(4/5) and gamma=tan^(-1)(8/15) then

Let alpha = sin^(-1) ((36)/(85)), beta = cos^(-1) ((4)/(5)) and gamma = tan^(-1) ((8)/(15)) Then

Let alpha=som^(-1)((36)/(85)),beta=cos^(-1)((4)/(5)) and gamma=tan^(-1)((8)/(15)) then cot alpha+cot beta+cot gamma=cot alpha cot beta cot gammatan alpha tan beta+tan beta tan gamma+tan alpha tan gamma=1tan alpha+tan beta+tan gamma=tan alpha tan beta tan gammacot alpha cot beta+cot beta cot gamma+cot alpha cot gamma=1

If alpha=sin^(-1)(cos(sin^(-1)x)) and beta=cos^(-1)(sin(cos^(-1)x)) then find tan alpha.tan beta

If alpha = sin^(-1) (cos(sin^-1) x)) and beta = cos^(-1) (sin (cos^(-1) x)) , then find tan alpha. tan beta.

If alpha = sin^(-1) (cos(sin^-1) x)) and beta = cos^(-1) (sin (cos^(-1) x)) , then find tan alpha. tan beta.

If alpha + beta + gamma + delta = 2pi then prove that sum tan alpha = tan alpha *tan beta* tan gamma* tan delta *sum cot alpha .

Let tan^(-1) ( tan. (5pi)/(4))=alpha, tan^(-1) (-tan. (2pi)/(3))=beta , then

If tan^2alpha = 1 + tan^2beta ,then prove that cos^2 beta = cot^2alpha

If alpha+ beta=(pi)/(2) and beta+ gamma= alpha then prove that tan alpha=tan beta+2 tan gamma .