If `sin(theta+alpha)=n sin(theta-alpha)`, prove that `cot theta=(n-1)/(n+1) cot alpha`.

If sin theta=n sin(theta+2 alpha), prove that tan(theta+alpha)=(1+n)/(1-n)tan alpha

If sin theta=k sin(theta+2 alpha) prove that tan(theta+alpha)=(1+k)/(1-k)tan alpha

If m cos(theta+alpha)=n cos(theta-alpha), then (m-n)cot alpha=

If m cos(theta+alpha)=n cos(theta-alpha), then (m-n)cot alpha=

If m sin theta=n sin(theta+2 alpha), prove that tan(theta+alpha)cot alpha=(m+n)/(m-n)

If cot^(2)theta=cot(theta-alpha)cot(theta-beta), then show that cot2 theta=(1)/(2)[cot alpha+cot beta]

If m sin theta=n sin(theta+2 alpha), then tan(theta+alpha)=

If (sin(theta+alpha))/(cos(theta-alpha))=(1-m)/(1+m), prove that tan((pi)/(4)-theta)tan((pi)/(4)-alpha)=m

Statement (1): If mcos(theta+alpha)= n cos(theta-alpha) then tan theta * tan alpha = (m+n)/(m-n) Statement (2): If sin(alpha+beta)/sin(alpha-beta) = (a+b)/(a-b) then tan alpha * cot beta = a/b Which of the above statements is correct? (i) only I (ii) only II (iii) both I and II (iv) Neither I nor II

If sin(theta + 3alpha) = 3sin(alpha - theta) then tan theta in terms of tan alpha is ______.