solve the equation sinx=1

Explanation:

Step1: Recall sine - function values

We know that the sine function $y = \sin x$ has a range of $[- 1,1]$. The sine of an angle in the unit - circle is defined as the $y$ - coordinate of the point on the unit - circle corresponding to that angle.

Step2: Identify the angle

We know that $\sin x = 1$ when $x=\frac{\pi}{2}+2k\pi,k\in\mathbb{Z}$ (in radians). In degrees, when $k = 0$, $x = 90^{\circ}$.

Answer:

90