if `sin(theta+alpha)=cos(theta+alpha)` then `tanalpha`

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

If sin(theta+alpha)=cos(theta+alpha) then the value of tan theta is

If sintheta=3sin(theta+2alpha) , then tan(theta+alpha)+2tanalpha=?

If A = |(sin (theta + alpha),cos (theta + alpha),1),(sin (theta + beta),cos (theta + beta),1),(sin (theta + gamma),cos (theta + gamma),1)| , then

Let m and M be the minimum and maximum values of 2sin^(2)theta+4cos(theta+alpha)sin theta sin alpha+cos2(theta+alpha) where 0<=theta<=(pi)/(4) and 0<=alpha<=(pi)/(4) then (m+M) equals to

If sin^(2)(theta-alpha)cos alpha=cos^(2)(theta-alpha)sin alpha=m sin alpha cos alpha, then

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

If sin^(2)(theta-alpha)cas alpha=cos^(2)(theta-alpha)sin alpha=m sin alpha cos alpha then prove that |m|>=(1)/(sqrt(2))