If `tantheta=(2x-K)/(Ksqrt(3))and tan varphi=(xsqrt(3))/(2K-x)`,then show that `|varphi-theta|=30^@`.

If tan theta = (2x - K)/(K sqrt3) " and " tan varphi = (xsqrt3)/(2 K-x), "then show that" |varphi - theta| = 30^(@).

If tan theta=(1)/(2) and tan varphi=(1)/(3) then the value of theta+varphi is

If phi = tan^-1 (xsqrt3)/(2k-x) and theta (2x-k)/(ksqrt3) , then show that one value of (phi - theta) is 30^@

if tan (theta/2)=sqrt((1-e)/(1+e)) tan (varphi/2) ,then prove that cos varphi=(costheta-e)/(I-ecostheta)

If phi="tan"^(-1)(xsqrt(3))/(2k-x) and theta="tan"^(-1)(2x-k)/(k sqrt(3)) , then show that one value of (phi-theta) is 30^(@) .

If tan theta= sqrt((a-b)/(a+b))"tan"(A)/(2) and cos varphi =(b+ a cos A)/(a+ b cosA) , show that varphi = 2 theta .

If tan theta=(1)/(2) andtan varphi =(1)/(3), then the value of theta+varphi is (pi)/(6) (b) pi(c)0(d)(pi)/(4)

If quad 2 theta+s in2 varphi=(1)/(2) and cos2 theta+cos2 varphi=(3)/(2), then cos^(2)(theta-varphi)=3/8b.5/8c.3/4d5/4

If A=Tan^(-1)((xsqrt(3))/(2k-x)) and B=Tan^(-1)((2x-k)/(ksqrt(3))) then A-B=