![gracemerci1](/avatars/8993.jpg)
gracemerci1
13.07.2019 •
Mathematics
Use inverse functions where needed to find all solutions of the equation in the interval 2 cos2 x + 9 sin x = 6
Solved
Show answers
More tips
- A Animals and plants Уход за джунгариками: полезные советы и рекомендации...
- L Legal consultation What Documents Are Required for a Russian Passport?...
- S Sport How to Choose Tennis Rackets?...
- H Health and Medicine AKDS Vaccination: Ensure Your Child s Safety...
- H Health and Medicine Naskol ko Opasen Ukus Kleshcha i Kak Ego Raspoznat...
- C Computers and Internet How to Delete Your Account on Odnoklassniki...
- H Health and Medicine What to Do When Your Jaw Locks Up?...
- G Goods and services What Are the Most Popular Services?...
- P Philosophy How did the concept of module arise in computer science?...
Answers on questions: Mathematics
- M Mathematics R (x + 1) (3x - 5) S Р What is mzPQR ?...
- M Mathematics Determine the ordered pair that satisfies the equation, 5x - 3y = 2....
- M Mathematics What is the probability that 17 rolls of a fair die will show three sixes...
- M Mathematics the square is 22 by 30 with a roof not included. slope of roof rises 10 inches for each foot of horizontal run. will the designer be able to build the house under 35 feet...
- M Mathematics Jamal wants to subtract 16-7. First he subtract 16-6 then he subtracts 1 why will he get the correct answer...
- M Mathematics What was the initial quantity of silicon-32, which has a half-life of 170 years, if, after 45 years, there is 750 g in the sample? 3,200 g 1,172 g 12,050 g 901.04 g 1,500 g...
- M Mathematics The ratio of the measure of an angle to its complement is 3:2. Find the measure of the smaller angle...
- M Mathematics Help help help help help...
- M Mathematics Help In your own words, explain how to find the rate of change of the following graph at x=1. Then find the rate of change at x=1....
- M Mathematics Answer photo bellow, please...
Ответ:
You can use the identity
to write the equation as
Now, from the fundamental equation of trigonometry, deduce an expression for
in terms of
:
The equation becomes
Simplify the left hand side and move all terms to left hand side:
Now, if you let
, this equation becomes a quadratic equation:
The two solutions of this equations are
We must be careful, because we have to remember that
was actually
. This means that
can only assume values between -1 and 1. The second solution exceeds 1, so we reject it. So, we have
Ответ: