Evaluate the following trigonometric functions, rounding to the nearest hundredth: sin 80° = ? cos 80° = ? tan 80° = ?
Understand the Problem
The question asks to evaluate the sine, cosine, and tangent of 80 degrees and provide the answers as integers or decimals rounded to the nearest hundredth.
Answer
$sin \ 80^\circ = 0.98$ $cos \ 80^\circ = 0.17$ $tan \ 80^\circ = 5.67$
Answer for screen readers
$sin \ 80^\circ = 0.98$
$cos \ 80^\circ = 0.17$
$tan \ 80^\circ = 5.67$
Steps to Solve
- Calculate $sin \ 80^\circ$
Use a calculator to find the sine of 80 degrees. $sin \ 80^\circ \approx 0.9848$
- Round $sin \ 80^\circ$ to the nearest hundredth
Rounding $0.9848$ to the nearest hundredth gives $0.98$.
- Calculate $cos \ 80^\circ$
Use a calculator to find the cosine of 80 degrees. $cos \ 80^\circ \approx 0.1736$
- Round $cos \ 80^\circ$ to the nearest hundredth
Rounding $0.1736$ to the nearest hundredth gives $0.17$.
- Calculate $tan \ 80^\circ$
Use a calculator to find the tangent of 80 degrees. $tan \ 80^\circ \approx 5.6713$
- Round $tan \ 80^\circ$ to the nearest hundredth
Rounding $5.6713$ to the nearest hundredth gives $5.67$.
$sin \ 80^\circ = 0.98$
$cos \ 80^\circ = 0.17$
$tan \ 80^\circ = 5.67$
More Information
The sine, cosine, and tangent functions are trigonometric functions that relate the angles of a triangle to the ratios of its sides. Calculators are very useful for evaluating these functions for various angles.
Tips
A common mistake is forgetting to set the calculator to degree mode when evaluating trigonometric functions with degree inputs. Another common mistake involves rounding: remembering to look at the next digit when rounding is important.
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