Question

Evaluate the trigonometric expression. Round your answer to four decimal places. Do not use spaces in your answer.

10tan(20 )=?
a) 0.3640
b) 0.3639
c) 0.3638
d) 0.3637

Answer 1

The value of 10tan(20°) is calculated using a scientific calculator, ideally set to degree mode, and the resulting value is then rounded to four decimal places to match the given options.

Step-by-step explanation:

To evaluate the trigonometric expression 10tan(20°), we need to calculate the tangent of 20 degrees and then multiply the result by 10. First, we find the value of tan(20°) using a calculator, making sure the calculator is set to degree mode. After obtaining the value of tan(20°), we multiply this value by 10 to get the final result.

If you do not have a calculator that can compute trigonometric functions directly, you can use trigonometric identities or a table of values to approximate the value of tan(20°). However, for this question, we will assume the use of a calculator.

After calculating the expression using a scientific calculator, we find the value and then round it to four decimal places as specified. We compare the result with the given options to determine the correct answer.