Question

Number of solutions of tan(x +100°) = tan(x + 50°) tan x tan(x - 50°), -100° < x < 300° is

Number of solutions of \( \tan \left(x+100^{\circ}\right)=\tan \left(x+50^{\circ}\right) \tan x \tan \left(x-50^{\circ}\right),-100^{\circ}

Answer 1

tan(x + 100°)

= tan(x + 50°)tan x. Tan(x − 50°)