If `sin theta=n sin (theta+2a)`,show that
`tan(theta+alpha)=(1+n)/(1-n) tan alpha`.

If sin theta = 3 sin (theta + 2 alpha) , then the value of tan (theta + alpha) + 2 tan alpha is

If a cos theta+b sin theta=c , show that asin theta-bcos theta=pm sqrt((a)^(2)+(b)^(2)-(c)^(2))

Prove that sin (3theta)/(1+2cos 2theta)=sin theta .

If cos theta+sin theta=sqrt(2) cos theta ,then show that cos theta-sin theta=sqrt(2) sin theta

Prove that (sin2theta)/(1+cos2theta)=tantheta

(ii)Prove that tan(pi/4-theta)=(1-tan theta)/(1+tan theta)

Solve tan 5theta=cot2theta .

If "sin"(theta+phi)=n"sin"(theta-phi),n ne1 , then the value of ("tan"theta)/("tan"phi) is a) n/(n-1) b) (n+1)/(n-1) c) n/(1-n) d) (n-1)/(n+1)

If cos alpha+cos beta=1/3 and sin alpha+sin beta=1/4 ,show that tan((alpha+beta)/2)=3/4