if root 3 tan theta=1, then find the value of sin2theta-cos2theta - Math - Some Applications of Trigonometry

Question

if root 3 tan theta=1, then find the value of
sin2theta-cos2theta

Varun.Rawat · Accepted Answer

We have ,3 tan θ = 1⇒ tan θ = 13 ⇒tan θ
= tan 30⇒θ = 300 now, sin2 θ - cos2 θ = sin2
30 - cos2 30 = 122 - 322 = 14 - 34 =- 24 = - 12