Question

please answer this question with working

Answer 1

Answer:

4/3

Step-by-step explanation:

Given : √2 tan 2θ = √6

⇒ tan 2θ = √6/√2

⇒ tan 2θ = √3

⇒ tan 2θ = tan 60

⇒ 2θ = 60

⇒ θ = 30°.

Now,

⇒ sin θ + √3 cosθ - 2 tan² θ

⇒ sin (30°) + √3 cos (30°) - 2 tan² (30°)

⇒ (1/2) + √3 * (√3/2) - 2 * (1/√3)²

⇒ (1/2) + (3/2) - (2/3)

⇒ 4/3.

Therefore, the answer is 4/3.

Hope it helps!