Answer:
45° and 135°
Step-by-step explanation:
Given that the value of x lies between 0° to 180° i.e. 0° ≤ x ≤ 180°.
Now, given that [tex]\sin x = 0.707107 = \frac{1}{\sqrt{2} }[/tex] .......... (1)
Therefore, [tex]x = n\pi + (- 1)^{n} \frac{\pi }{4}[/tex] {Where n is any positive integer}
So, this is the general solution for the equation (1).
Now, as the value of x is given by 0° ≤ x ≤ 180°
Hence, the particular solution of the equation is 45° and (180° - 45°) = 135°. (Answer)
