Final answer:
In solving for sin(225°), cos(225°), and tan(225°), both sine and cosine are negative √2/2 due to the angle's placement in the third quadrant, and the tangent is 1.
Step-by-step explanation:
To solve for sin(225°), cos(225°), and tan(225°), we must consider the properties of the unit circle. An angle of 225° is located in the third quadrant, where both sine and cosine values are negative.
By using the reference angle of 45°, which corresponds to 225° in the unit circle, we know the sine and cosine values will be √2/2 in magnitude but negative due to the angle's location in the third quadrant.
Therefore, sin(225°) = -√2/2 and cos(225°) = -√2/2. For the tangent function, which is the ratio of sine to cosine, the negatives cancel each other out, leading to tan(225°) = 1.
The correct answer is a) sin(225°) = -√2/2, cos(225°) = -√2/2, tan(225°) = 1.