If `alpha=tan^(-1)(t a n(5pi)/4)a n dbeta=tan^(-1)(-tan((2pi)/3)),t h e n` (a)`4alpha=3beta` (b) `3alpha=4beta` (c) `alpha-beta=74alpha=(3beta)/(12)` (d) none of these

If alpha=tan^(-1)(t a n(5pi)/4)a n dbeta=tan^(-1)(-tan(2pi)/3),t h e n 4alpha=3beta (b) 3alpha=4beta (c) alpha-beta=74alpha=(3beta)/(12) none of these

If tanalpha=(1-cosbeta)/(sinbeta),t h e n (a) tan3alpha=tan2beta (b) tan2alpha=tanbeta (c) tan2beta=tanalpha (d) none of these

If alpha=cos^(-1)((3)/(5)),beta=tan^(-1)((1)/(3)) , where 0ltalpha,betalt(pi)/(2) , then alpha-beta is equa to :

If alpha = cos^(-1)((3)/(5)), beta = tan ^(-1)((1)/(3)) , where 0 lt alpha, beta lt (pi)/(2) , then alpha - beta is equal to

The value of (alpha^3)/2cos e c^2(1/2tan^(-1)alpha/beta)+(beta^3)/2sec^2(1/2tan^(-1)(beta/alpha))i se q u a lto (alpha+beta)(alpha^2+beta^2) (b) (alpha+beta)(alpha^2-beta^2) (alpha+beta)(alpha^2+beta^2) (d) none of these

If cot alpha=1/2, alpha in (pi,(3pi)/2) and sec beta=(-5)/3, beta in ((pi)/2, pi) find tan (alpha+beta)

Let (sin(theta-alpha))/("sin"(theta-beta))=a/b a n d(cos(theta-alpha))/("cos"(theta-beta))=c /d t h e n(a c+b d)/(a d+b c)= (a) cos(alpha-beta) (b) sin(alpha-beta) sin(alpha+beta) (d) none of these

If alpha+beta=pi/4 then (1+tan alpha)(1+tan beta)=

If alpha+beta+gamma=2pi, then (a) tan(alpha/2)+tan(beta/2)+tan(gamma/2)=tan(alpha/2)tan(beta/2)tan(gamma/2) (b) tan(alpha/2)tan(beta/2)+tan(beta/2)tan(gamma/2)+tan(gamma/2)tan(alpha/2)=1 (c) tan(alpha/2)+tan(beta/2)+tan(gamma/2)=-tan(alpha/2)tan(beta/2)tan(gamma/2) (d)none of these

(sinalpha+sinbeta-sin(alpha+beta))/(sinalpha+sinbeta+sin(alpha+beta))=tan(alpha/2)tan(beta/2)