Question

4sin²∅-4x.sin∅+2x²-2x+1=0 then ∅=?

Answer 1

Answer:

30°

Step-by-step explanation:

⇒ 4sin²Ф - 4x sinФ + 2x² - 2x + 1 = 0

⇒ 4sin²Ф - 4x sinФ + x² + x² - 2x + 1 = 0

⇒ (2sinФ)² - 2*2sinФ*x + (x)² + (x)² - 2*x*1 + (1)² = 0

⇒ (2sinФ - x)² + (x-1)² = 0

⇒ (x-1) = 0 and  (2sinФ - x) = 0

Therefore

x=1 and sinФ = 0.5

⇒ Ф = 30°