Question

1. If V3 tan0 = 1, then the value of Sin’e - Cos20 is
4
-1
b)
c)
d)
3
2
53
2​

Answer 1

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 = -1/2Read more on Sarthaks.com - https://www.sarthaks.com/884610/if3-tan-1-then-find-the-value-of-sin-2-cos-2