Question

2 sinsquare theata minus cos square theta equal to 2​

Answer 1

Answer:

θ = 90°, 270°

Step-by-step explanation:

Given : 2 sin²θ - cos²θ = 2 ...(i)

{ As we know that,

sin²θ + cos²θ = 1 }

So, cos²θ = 1 - sin²θ ...(ii)

Using (ii) in (i), we get

→ 2 sin²θ - (1 - sin²θ) = 2

→ 2 sin²θ - 1 + sin²θ = 2

→ 3 sin²θ = 3

→ sin²θ = 1

→sinθ = √1

→ sinθ = 1

Also, sin 90° = 1 and sin 270° = 1

Therefore,

θ = 90°, 270°