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1 year ago

How do you solve 2sin^2θ = 1 ?

Mathematics

1 answer:

Murrr4er [49]1 year ago

5 0

The value of θ is 45 degrees as sin45° is equal to 1/√2.

<h3>What is trigonometric equation?</h3>

Trigonometric equation refers to an equation consists of a number of trigonometric ratios whose angle is unknown.

<h3>What is the ranges of trigonometric angle?</h3>

Generally trigonometric angles are represented by θ. while solving equations we get the values of θ ranges from 0 degree to 90 degrees.

Given, 2sin²θ = 1

solving the equation

sin²θ = 1/2

sinθ = 1/√2

we know sin45° has a specific value 1/√2

sinθ = sin 45°

now, θ = 45°

hence, the solution is θ = 45 degrees.

to know more about trigonometric ratios and values visit

the link: brainly.com/question/29755110

#SPJ4

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A theater has a discount pass that cost nine dollars with the past admission is $6.50 per movie. mike tyrell and juanita all bou

tia_tia [17]

Answer:

They saw <u>24</u> movies.

Step-by-step explanation:

The question is incomplete so the complete question is below:

A theater has a discount pass that cost nine dollars with the pass, admission is $6.50 per movie. Mike, Tyrell and Juanita all bought a pass and went to see movies together they spent a total of $183. Write and solve an equation to find out how many movies they saw.

Now, to find the number of movies they saw.

Let the number of movies they saw be $x.$

Discount pass = $9.

With the pass admission per movie is $6.50.

Total number of people = 3.

Total money spent = $183.

So, to get the number of movies they saw we write an equation:

$3(9)+6.50(x)=183$

Now, to solve the equation:

$3(9)+6.50(x)=183$

$27+6.50x=183$

<em>Subtracting on both sides by 27 we get:</em>

$6.50x=156$

<em>Dividing both sides by 6.50 we get:</em>

$x=24.$

Therefore, they saw 24 movies.

4 0

3 years ago

The table shows how much money Edguardo earns as a golf coach. He charges a flat fee of $38, plus $22 per hour. Complete the tab

Vesnalui [34]

Let's re-read the statement and question, and then break it down.
He charges a flat fee of $38, plus $22 per hour.
A flat fee of $38 is only a one-time pay, and will never be paid for again.
This means if after two hours, we only add $38 once overall, never more.
Every hour that goes by, he earns $22 each hour.
Now that we've broken this down, we can make an equation.
Let's do 1 hour.
1(22) + 38 = 22 + 38, = 60.
For 1 hour he earns $60.
Let's do 2 hours.
2(22) + 38 = 44 + 38, = 82.
For 2 hours he earns $82.
Let's do 3 hours.
3(22) + 38 = 66 + 38, = 104.
For 3 hours he earns $104.
Let's do 4 hours.
4(22) + 38 = 88 + 38, = 126.
For 4 hours he earns $126.
This is a pattern.
Now let's do 8 hours, which is the main question, "How much does he make in 8 hours?".
8(22) + 38 = 176 + 38, = 214.
For 8 hours he earns $214.
I hope this helps!

4 0

3 years ago

Read 2 more answers

What are the domain and range of f(x) =4^x-8

Nutka1998 [239]

The domain in this equation is -7<x<infinty and the range is negative infinty<y<1.5

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3 years ago

If a ∝ b and a = 18 when b = 3, then find a when b = 5.

Elden [556K]

"a ∝ b" means "a is proportional to b", which in turn means there is some constant k such that

a = kb