Question

0 What is x
Find x when sinx =0.707107

Answer 1

45° and 135°

Explanation:

Given that the value of x lies between 0° to 180° i.e. 0° ≤ x ≤ 180°.

Now, given that
`\sin x = 0.707107 = (1)/(√(2) )` .......... (1)

Therefore,
`x = n\pi + (- 1)^(n) (\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)