27. The value of tan 100° to 2 decimal places is:

A. 5.67 B. -5.67 C. -5.7

The value of tan 100° to 2 decimal places is C. -5.7

To calculate the value of tan 100° to 2 decimal places, you can use a scientific calculator or a trigonometric table. However, I can also guide you through the steps to find the answer.

Step 1: Convert 100° to radians.
To convert degrees to radians, you need to multiply by π/180.
100° * π/180 = 1.745329 radians (approx.)

Step 2: Calculate the tangent of 1.745329 radians.
Using a calculator or trigonometric table, the tangent of 1.745329 radians is approximately 5.67.

Therefore, the value of tan 100° to 2 decimal places is option A) 5.67.