Final answer:
The smallest positive angle θ such that cosine(θ) equals sine(-203°) is 247°.
Step-by-step explanation:
The smallest positive angle θ such that cosine(θ) equals sine(-203°) can be determined by finding the reference angle. We know that cosine(θ) equals sine(-θ) for any angle θ. To find the reference angle, we take the absolute value of -203° which gives us 203°. Next, we find the complementary angle by subtracting the reference angle from 90° which gives us 90° - 203° = -113°. Since we are looking for the smallest positive angle, we add 360° to -113° which gives us 247°. Therefore, the smallest positive angle θ is 247°.