1/cos300°+sin225°

The angle $300^\circ$ is in the fourth quadrant. The reference angle is $360^\circ - 300^\circ = 60^\circ$. In the fourth quadrant, cosine is positive.

$$\cos 300^\circ = \cos 60^\circ = \frac{1}{2}$$

The angle $225^\circ$ is in the third quadrant. The reference angle is $225^\circ - 180^\circ = 45^\circ$. In the third quadrant, sine is negative.

$$\sin 225^\circ = -\sin 45^\circ = -\frac{\sqrt{2}}{2}$$

$$2 - \frac{\sqrt{2}}{2} = \frac{4}{2} - \frac{\sqrt{2}}{2} = \frac{4 - \sqrt{2}}{2}$$ $$\boxed{\frac{4 - \sqrt{2}}{2}}$$

2 zimekamilika. Zimebaki 3 leo — tuma inayofuata.