Question

if tan theta =1/root 3, find the value of 1-cos square theta/1-sin square theta​

Answer 1

Answer:

Given: √3 tan θ = 1

⇒ tan θ = 1/√3

⇒ θ = tan-1 (1/√3) [Taking tan inverse]

⇒ θ = 30°

To find value of sin2 θ – cos2 θ, substitute value of θ We get,

sin2 30° - cos230°

= (1/2)2 – (√3/2)2

= 1/4 - 3/4

= -2/4 = -1/2