If `sin(alpha + beta) = 1, sin(alpha - beta) = 1/2` then `tan(alpha + 2 beta) tan(2 alpha + beta)`=

If cot (alpha + beta )=0 , then sin(alpha+2beta ) =

If 3 sin alpha=5 sin beta , then (tan((alpha+beta)/2))/(tan ((alpha-beta)/2))=

If cos( alpha+beta) + sin(alpha-beta) = 0 and 2010tan beta + 1 = 0 then tan alpha is equal to

If sin(theta+alpha)=aandsin(theta+beta)=b , then prove that cos2(alpha-beta)-4abcos(alpha-beta)=1-2a^(2)-2b^(2) .

If cos(alpha+beta)=(4)/(5),sin(alpha-beta)=(5)/(13),0ltalpha,betalt(pi)/(4) then tan2alpha = …………

Let -pi/6 beta_1 and alpha_2 >beta_2 , then alpha_1 + beta_2 equals

if tanbeta=(nsinalphacosbeta)/(1-nsin^2alpha) then prove that tan(alpha-beta)=(1-n)tanalpha.

The value of the determinant |{:(1,sin(alpha-beta)theta,cos (alpha-beta)theta),(a, sinalphatheta,cos alphatheta),(a^(2),sin(alpha-beta)theta,cos(alpha-beta)theta):}| is independent of

If alpha,beta!=0 , and f(n)""=alpha^n+beta^n and |3 1+f(1)1+f(2)1+f(1)1+f(2)1+f(3)1+f(2)1+f(3)1+f(4)|=K(1-alpha)^2(1-beta)^2(alpha-beta)^2 , then K is equal to (1) alphabeta (2) 1/(alphabeta) (3) 1 (4) -1

A jet plane is at a vertical height of h. The angles of depression of two tanks on the ground in the same line with the plane are alpha and beta (alpha gt beta) . Prove that the distance between the tanks is ( h (tan alpha - tan beta))/(tan alpha tan beta)