PluggedIn
30.11.2020 •
Mathematics
Find the solutions in the interval [0, 2π). (Enter your answers as a comma-separated list.)sec θ − tan θ = cos θ
Solved
Show answers
More tips
- C Computers and Internet How Much Does an iPhone Cost in America?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- H Health and Medicine Headache: A Comprehensive Guide to Treatment...
- C Computers and Internet How to Properly Order Clothing from International Online Stores...
- A Auto and Moto Mastering One-Movement Parking: All You Need to Know...
- D Dating, Love, Relationships How Long Can Love Last?...
- S Society and Politics Is It Fact or Fiction? Let s Talk About Anton Chekhov s Pseudonym...
- F Food and Cooking How to Find Your Zip Code?...
- S Style and Beauty How to choose the best mascara for your eyelashes...
- S Style and Beauty How to Apply Foundation Correctly?...
Answers on questions: Mathematics
- M Mathematics Solve the equation: 5x + 45 = 35 What is the value of x?...
- M Mathematics the area of a square is below. A= 40in^2 find the length of the side. round your answer to the nearest tenth...
- C Chemistry An example of matter made up of only one type of element is...
- B Business Crich Corporation uses direct labor-hours in its predetermined overhead rate. At the beginning of the year, the estimated direct labor-hours were 21,980 hours and the total...
Ответ:
The equation is an illustration of trigonometry ratios and identities
The solution in the interval [0, 2π) is
The equation is given as:
In trigonometry identity, we have:
and
So the equation becomes
Multiply through by cosθ
In trigonometry,
So, we have:
Subtract 1 from both sides
Divide both sides by
Rewrite as:
Take arc sin of both sides
This gives
Read more about trigonometry ratios at:
link
Ответ:
Step-by-step explanation:
Given the expression;
secθ − tan θ = cosθ
We are to find the solution in the interval [0, 2π).This is as shown;
From trigonometry identity;
secθ = 1/cosθ
tanθ = sinθ/cosθ
Substitute into the formula;
secθ − tan θ = cosθ
1/cosθ-sinθ/cosθ = cosθ
Multiply through by cosθ
1 - sinθ = cos²θ
1-sinθ = (1-sin²θ)
1-sin²θ-1+sinθ =0
-sin²θ+sinθ = 0
sin²θ = sinθ
sinθ = 1
θ = arcsin 1
θ = 90
θ = π/2
Hence the solution is π/2
Ответ:
x=2& y=1
Step-by-step explanation:
check it out
whether answer is correct or not