Question

give me the answer of no. 10

Answer 1

Answer:

1/3

Step-by-step explanation:

10.

Given: √3 tan θ = 3 sinθ

⇒ √3 (sinθ/cosθ) = 3 sinθ

⇒ √3/cosθ = 3

⇒ (1/cosθ) = 3/√3

⇒ cosθ = (1/√3)

⇒ cos²θ = (1/3).

Now,

∴ sin²θ + cos²θ = 1

⇒ sin²θ + (1/3) = 1

⇒ sin²θ = 2/3

Value of sin²θ - cos²θ

= (2/3) - (1/3)

= 1/3

Hope it helps!