If `mcos(theta+alpha)=ncos(theta-alpha),` then `(m-n) cot alpha=`

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

Statement-I: If mcos(theta + alpha) =ncos(theta-alpha) then tan alpha tan theta =(m+n)/(m-n) Statement:II 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?

Statement I : If m cos(theta+alpha)=n cos (theta-alpha) then tan theta.tan alpha=(m+n)/(m-n) Statement II : 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 ?

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+alpha)=cos(theta+alpha) then tan alpha

Simplify be reducing to a single term : cos (theta + alpha ) cos ( theta - alpha ) - sin ( theta + alpha ) sin (theta - alpha).

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

If cos (theta + 2alpha) = m cos theta , prove that : cot alpha = (1+m)/(1-m)tan(theta + alpha) .

cos ( theta + alpha)* cos ( theta - alpha) + sin ( theta + alpha) * sin (theta - alpha )=