Final answer:
To find the value of tan 75º to four decimal places, calculate the tangent using a calculator and round the result. The value corresponds to approximately 3.7320, making Option A the correct answer.
Step-by-step explanation:
The question asks to round the value of the tangent of 75° to four decimal places. To find the correct answer, you can use a calculator to determine the exact value of tan 75°. After calculating, the value should be rounded to four decimal places as per the instruction. Comparing the calculated value to the given options, you will then select the option that matches the calculated result.
By calculating tan 75°, we find the value is approximately 3.7320 when rounded to four decimal places. Hence the correct answer from the given options is A. 3.7321.