If a cos 2x + b sin 2x = c has α and β as its roots, then prove that

Question

Philoid · Accepted Answer

Given: a cos 2x + b sin 2x = c

We know,

Therefore,

a cos 2x + b sin 2x = c

We know,

If m and n are roots of the equation ax² + bx + c = 0

then,

Sum of the roots(m+n)

Therefore,

If tan α and tan β are the roots of the equation

then,

Hence Proved