Prove that sinx-siny -2 sinx-y-2cosx-y-2 and hence show that sinx-sin3x-cosx- cos3x-tan2x

(sin3x+sinx/cos3x+cosx) =(2sin((3x+x/2)cos((3x x/2)/(2cos(3x+x/2)cos((3x x/2)) =(sin2x/cos2x)=tan2x ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Integration by Partial Fractions

Prove that ...

Question

Prove that $s i n x + s i n y = 2 s i n \frac{x + y}{2} c o s \frac{x - y}{2}$ and hence show that $\frac{s i n x + s i n 3 x}{c o s x + c o s 3 x} = t a n 2 x$

Open in App

Solution

Suggest Corrections

Similar questions

\frac{sin x + sin 3 x}{cos x + cos 3 x} = tan 2 x

cos x + sin x = \sqrt{2} cos x

cos x - sin x = \sqrt{2} sin x

\frac{sin x - sin y}{cos x + cos y} = tan \frac{x - y}{2}

\frac{{cos}^{3} x - {sin}^{3} x}{cos x - sin x} = \frac{1}{2} (2 + sin 2 x)

sin x + sin y = a

cos x + c o s y = b

sin (x + y) = 2 a b / (a^{2} + b^{2})

Join BYJU'S Learning Program