Question

When solving 2sinx = -2√, where 0 ≤ x < 360°, the largest solution (within the restriction) is x = ?

Answer 1

The largest solution, within the restriction of 0 ≤ x < 360°, for the equation 2sinx = -2√ is x = 305.26°.

Step-by-step explanation:

To solve the equation 2sinx = -2√, we can begin by isolating the sine term. Divide both sides of the equation by 2 to get sinx = -√2. Then, take the inverse sine of both sides to find the values of x.

The inverse sine of -√2 is approximately -54.74° or 305.26°.

However, since the question requires an angle between 0 and 360°, the largest solution within this restriction is x = 305.26°.