![cordovamaria22](/avatars/8090.jpg)
cordovamaria22
17.11.2019 •
Mathematics
Given that tan θ ≈ 1.072, where 0 < θ < , 2 π find the values of sin θ and cos θ.
Solved
Show answers
More tips
- F Food and Cooking Why Doesn t the Confirmation Link Come to Email?...
- L Leisure and Entertainment What Movies You Should Watch: A Guideline to Make the Right Decision...
- F Family and Home How to Choose a Baby Stroller: Tips from Experienced Parents...
- H Health and Medicine 5 Simple Steps to Quit Smoking for Good...
- H Health and Medicine Coughing: Causes, Types, and Treatment Methods...
- H Health and Medicine How to Treat the Flu: A Comprehensive Guide...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
Answers on questions: Mathematics
- M Mathematics Find the value of RZ on the following kite if EX is 14 and QR is 8 find RZ...
- M Mathematics Sorry I just didn’t have time to study due to other project, may I get help on this and a few too?...
- P Physics The black woodpecker s beak is connected to its skull with to prevent jolts....
- H History Study the two bar graphs. Based on these graphs, which of the following statements are correct? Check all the boxes that apply. The United States always built the most aircraft....
Ответ:
The answer to your question is
sin Ф = 0.731 and sinФ = -0.731; cos Ф 0.682 and cos Ф = -0.682
Step-by-step explanation:
tan Ф = 1.072, 0 < Ф < 2 π, tan Ф is positive, find the solution in the first and third quadrangle.
- tan Ф = opposite side / adjacent side
- 1.072 / 1 = opposite side / adjacent side
- opposite side = 1.072 and adjacent side = 1
Calculate hypotenuse
c² = a² + b²
c² = 1.072² + 1²
c² = 2.149
hypotenuse = c = 1.466
First quadrangle
sin Ф = 1.072 / 1.466 = 0.731
cos Ф = 1 / 1.466 = 0.682
Third quadrangle
sin Ф = -1.072 / 1.466 = -0.731
cos Ф = -1 / 1.466 = -0.682
Ответ: