" 5."(sin(ax+b))/(cos(alpha+4))

5. sin(ax+b)cos(ax+b)

sin (ax + b) cos (ax + b)

sin (ax + b) cos (ax + b)

sin (ax +b) cos (ax+b)

sin (ax +b) cos (ax+b)

I : If (cos alpha )/(a)=(sin alpha )/(b) then a cos 2 alpha + b cos 2 alpha =a II : If (sin alpha )/(a) =(cos alpha )/(b) then a sin 2 alpha + b cos 2 alpha = a

Prove that from the equality (sin^(4)alpha)/a+(cos^(4)alpha)/b=1/(a+b) follows the relations, (sin^(8)alpha)/a^(3) +(cos^(8)alpha)/b^(3)=1/(a+b)^(3)

If (sin^4alpha)/(a)+(cos^4alpha)/(b)=1/(a+b) show that, (sin^8alpha)/(a^3)+(cos^8alpha)/(b^3)=1/(a+b)^3

If (sin alpha)/(a)=(cos alpha)/(b), then a sin2 alpha+b cos2 alpha=