Question

Find the general solutions of :

a) tan^2x+(1-√3)tanx-√3=0
b) 2cos^2x=3(1-sinx)
c) cosA+cos3A-2cos2A=0
d) sin2A+sin4A+sin6A=0

i need the answers fast please if someone could please help me :)

Answer 1

Step-by-step explanation:

a)let tanx=z

z^2+(1-√3)z-√3=0

z^2+z-√3z-√3=0

z(z-1)-√3(z-1)=0

(z-1)(z-√3)=0

z=1,√3

if z=1

tanx=1

x=45°

if z=√3

tanx=√3

x=60°