Question

Solve the trigonometry equation Sin(x + 30°) = 4/10 where -180° ≤ x ≤ 180°

Answer 1

Answer:

Step-by-step explanation:

Let ∅ = x + 30° ⇒⇒ equation (1)

then we have Sin∅ = 4/10

∅ = ArchSin ( 0.4 ) =

Use a calculator to find the exactly value of ∅

after finding that value take note if the value of ∅ is positive or negative and then use the idea of quadrants to determine the original value of ∅ , thereafter substitute the value of ∅ in equation (1) in order to get the value of x ,because we are only interested in finding the value of x but remember that the value of x should be greater than or equal to -180 but less than or equal to 180