If `a cos x - b sin x = c` show that ` a sin x + b cos x = sqrt(a^2+b^2+c^2)`

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

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

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

If a cos theta+b sin theta = c then show that a sin theta- b cos theta= +- sqrt(a^2+b^2-c^2)

If a sin^(3)x+b cos^(3)x= sin x cos x and a sin x= b cos x then a^(2)+b^(2)=

If sin x + cos x =sqrt2 cos x , show that : sqrt2 sin x =cos x- sin x .

If sin x - sin y = a " and "cos x + cos y = b,"show that " "tan" (x+y)/2 = pm sqrt((4-a^(2)-b^(2))/(a^(2)+b^(2)))

If tan x=(a)/(b) then show that (a sin x-b cos x)/(a sin x+b cos x)=(a^(2)-b^(2))/(a^(2)+b^(2))