Question

Find the value of sin²θ - cos²θ = ?

Pls answer with steps

Answer 1

Step-by-step explanation:

2 sin²Θ - cos²Θ = 2

2 sin²Θ - 2 = cos²Θ

From the Identity ⇒ sin²Θ + cos²Θ = 1

2(sin²Θ - 1) = cos²Θ

2(- cos²Θ) = cos²Θ

- 2 cos²Θ = cos²Θ

3 cos²Θ = 0

cos²Θ = 0

From the Trigonometric table cos 90° = 0 ⇒ cos² 90° = 0

Then, cos²Θ = cos² 90°

Cancelling cos²Θ on both sides, Θ = 90°