Evaluate sin(58°), cos(58°), and tan(58°). Write your answers as integers or as decimals rounded to the nearest hundredth.
Understand the Problem
The question asks to evaluate the sine, cosine, and tangent of 58 degrees and provide the answers as integers or decimals rounded to the nearest hundredth.
Answer
$sin(58^\circ) \approx 0.85$ $cos(58^\circ) \approx 0.53$ $tan(58^\circ) \approx 1.60$
Answer for screen readers
$sin(58^\circ) \approx 0.85$ $cos(58^\circ) \approx 0.53$ $tan(58^\circ) \approx 1.60$
Steps to Solve
- Evaluate sin 58°
Use a calculator to find the sine of 58 degrees. Make sure your calculator is in degree mode.
$sin(58^\circ) \approx 0.848048$
Round to the nearest hundredth (two decimal places).
$sin(58^\circ) \approx 0.85$
- Evaluate cos 58°
Use a calculator to find the cosine of 58 degrees. Make sure your calculator is in degree mode.
$cos(58^\circ) \approx 0.529919$
Round to the nearest hundredth (two decimal places).
$cos(58^\circ) \approx 0.53$
- Evaluate tan 58°
Use a calculator to find the tangent of 58 degrees. Make sure your calculator is in degree mode.
$tan(58^\circ) \approx 1.600335$
Round to the nearest hundredth (two decimal places).
$tan(58^\circ) \approx 1.60$
$sin(58^\circ) \approx 0.85$ $cos(58^\circ) \approx 0.53$ $tan(58^\circ) \approx 1.60$
More Information
These values represent the ratios of sides in a right-angled triangle where one of the angles is 58 degrees. Sine is the ratio of the opposite side to the hypotenuse, cosine is the ratio of the adjacent side to the hypotenuse, and tangent is the ratio of the opposite side to the adjacent side.
Tips
A common mistake is not setting the calculator to degree mode. If the calculator is in radian mode, the answers will be incorrect. Another mistake is not rounding correctly to the nearest hundredth, for instance, rounding 0.848 to 0.84 instead of 0.85.
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