Question

0 What is x Find x when sinx =0.707107

Answer 1

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 $\sin x = 0.707107 = \frac{1}{\sqrt{2} }$ .......... (1)

Therefore, $x = n\pi + (- 1)^{n} \frac{\pi }{4}$ {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)