how can you tell how many solutions you'll get for a trigonometric equations? does it depend on the value of theta or the range?

Answer: Trigonometric equations are, as the name implies, equations that involve trigonometric functions. Similar in many ways to solving polynomial equations or rational equations, only specific values of the variable will be solutions, if there are solutions at all. Often we will solve a trigonometric equation over a specified interval. However, just as often, we will be asked to find all possible solutions, and as trigonometric functions are periodic, solutions are repeated within each period. In other words, trigonometric equations may have an infinite number of solutions. Additionally, like rational equations, the domain of the function must be considered before we assume that any solution is valid. The period of both the sine function and the cosine function is \displaystyle 2\pi2π. In other words, every \displaystyle 2\pi2π units, the y-values repeat. If we need to find all possible solutions, then we must add \displaystyle 2\pi k2πk, where \displaystyle kk is an integer, to the initial solution. Recall the rule that gives the format for stating all possible solutions for a function where the period is \displaystyle 2\pi :2π:

\displaystyle \sin \theta =\sin \left(\theta \pm 2k\pi \right)sinθ=sin(θ±2kπ)

There are similar rules for indicating all possible solutions for the other trigonometric functions. Solving trigonometric equations requires the same techniques as solving algebraic equations. We read the equation from left to right, horizontally, like a sentence. We look for known patterns, factor, find common denominators, and substitute certain expressions with a variable to make solving a more straightforward process. However, with trigonometric equations, we also have the advantage of using the identities we developed in the previous sections.

Find the midpoint of the line segment from (0,4) to (-1,3)
MIDPOINT=

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kayla measures a distance of 50 inches. she needs to find the equivalent number of meters. which conversion factors should she use? check all that apply.
2.54 cm/1 in
1in/2.54 cm
1 meter/100 cm
100 cm/1 meter ​

What is the sum of 2.33 × 104 and 9.001 × 106

What is 3.298 x 0.00042 =

Use the distance formula to show that the two triangles on the coordinate plane are congruent

PLEASE HELP ME! WILL MARK BRAINLIST!!!!

Video GameOnions$.37 eachTurkey$1.89 lb.Green Beans$0.53 a canCorn$0.59 an earHeavenly Ham$1.99 a poundPotatoes$4.75 a sackApple Pie$4.99Bread$2.13 a loafPumpkin$12.99Dinner Rolls$1.29 a packEggs$1.59 a doz.Cranberry Sauce$1.59Sweet Potatoes$.39 eachApples$.49Sugar$3.49Butter$1.79 pack of 4Thanksgiving Sales Flyer© La-Nette Mark 2014Directions:Please help slash the food prices to depict a 15% savings on all food for the Thanksgiving Holiday.

-2.5 + (-3.5) = -6 true or false

Select the correct answer.
Select the place of the digit 9 in this number.

269,478


ten thousands

hundreds

one thousands

ones

hundred thousands

tens

Contact forces are actions that take place only when objects are touching each other. Non-contact forces are actions that can take place whether objects are touching or not. Which of the following is a non-contact force? A. impact force B. gravity C. air resistance D. pushing

Who is life insurance best suited for?
A. College students
B. Children
C. People with debt
D. Doctors
SUBMIT

WILL MARK AS BRAINLIEST!!!!!

Wich steps are needed to solve this equation b+6=21

Can somebody help me and answer this I’ll give u thanks if ur right here’s the picture

The volleyball team raised $350 from its fundraiser. It wants to buy jerseys and volleyballs. The jerseys cost $12 each, and the team needs 22 jerseys. Volleyballs cost $15 each. What is the maximum number of volleyballs the team can buy and still have money left? Write your answer and explain the steps you took. WILL GIVE BRAIKNLIEST IF RIGHT!!!!!!!!

Which is the better buy?
3-foot piece of twine for $7.38
3-yard piece of twine for $16.11

Lines
AB
and
CD
are straight lines. Find x and y. Give reasons to justify your solutions.

A. X=1
B. X=3
C. X= 1,3
D. X= 0,3

The Hallan Lock Cabinet in IKEA it cost $59.00. What is the estimate total?

Of 200 employees of a store located in downtown Boston, 72 people take the subway to work, 48 take the bus, and 28 people take both the subway and the bus. How many employees
(a) Take the subway or the bus to work?

(b) Take only the bus to work?

(c) Take either the bus or the subway to work (but not both)?

(d) Get to work by some other means?

Which of the following choices will simplify (8 − 5)2 + 18/3+ 4 ?
19
13
22
None of these choices are correct.

Find -48a divided by 8 when a =1 . Write the answer in simplest form.

The solution is

What is 14/8 as a mixed number

Can someone please help me

Put these rational numbers in ascending order: 1/2, 55%, 1/3, 0.52
O 1/2, 55%, 1/3, 0.52
O 55%, 0.52, 1/2, 1/3
O 1/3, 1/2, 0.52, 55%
O 1/3, 0.52, 1/2, 55%

Which of the following inequalities have no solution over all real numbers? Check all that apply.
cos(x) <-2
3sin(x) > 2
sec(x) < 1
-1 < CSC(x) < 1
cos(x) – 1 > 0.5
tan(x) <-4

Please help

22a) PLEASE HELP BEST ANSWER BRAINLIEST

Endpoints of segment MN have coordinates (0, −3), (−2, −4). Endpoints of segment AB have coordinates (2, 5), (4, k).
a
What value of k makes these segments perpendicular?

A can of soup regularly costs "c" dollars. Helena has a coupon for $0.15 off the regular price.
weite an expression to show the price Helena will pay after using the coupon.

The winner of a gymnastics competition scored a total of 22.1 points. She won by 0.676 points.
How many points did the second-place gymnast score? please explain how