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cricket20 [7]
2 years ago
12

How do I solve this?

Mathematics
1 answer:
Sonbull [250]2 years ago
5 0

The question is somewhat poorly posed because the equation doesn't involve <em>θ</em> at all. I assume the author meant to use <em>x</em>.

sec(<em>x</em>) = csc(<em>x</em>)

By definition of secant and cosecant,

1/cos(<em>x</em>) = 1/sin(<em>x</em>)

Multiply both sides by sin(<em>x</em>) :

sin(<em>x</em>)/cos(<em>x</em>) = sin(<em>x</em>)/sin(<em>x</em>)

As long as sin(<em>x</em>) ≠ 0, this reduces to

sin(<em>x</em>)/cos(<em>x</em>) = 1

By definition of tangent,

tan(<em>x</em>) = 1

Solve for <em>x</em> :

<em>x</em> = arctan(1) + <em>nπ</em>

<em>x</em> = <em>π</em>/4 + <em>nπ</em>

(where <em>n</em> is any integer)

In the interval 0 ≤ <em>x</em> ≤ 2<em>π</em>, you get 2 solutions when <em>n</em> = 0 and <em>n</em> = 1 of

<em>x</em> = <em>π</em>/4   <u>or</u>   <em>x</em> = 5<em>π</em>/4

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Omari and his two cousins received the same amount of money to go to the movies. Each boy spent $15. Afterward, the boys had $30
Jlenok [28]

Answer:

Each boy recieved $25.25 each

Step-by-step explanation:

First, you add up all the money the 3 boys spent.

15+15+15=45

Then you add the sum of the equation to the amount all the boys had afterward.

45+30.75=75.75

Finally, you divide that product to 3 boys.

75.75/3=25.25

Therfore the answer is $25.25 each.      

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3 years ago
3. If a snail moves
Mila [183]
Hi there!

We know that the snail lives 1 x 1/2 feet in 3 x 3/4 hours. First you have to simplify or solve the expressions. 1 x 1/2 is equal to 1/2 and 3 x 3/4 is 9/4 or 2.25 in decimal form.

You need to divide 2.25 by 1/2 or 0.5 which is 4.5.

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3 years ago
Cory earns 52.50 in 7 hours. find the unit rate
faust18 [17]

divide the two:

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What is the answer to <br> -k - (-8k)
g100num [7]

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Step-by-step explanation:

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What is the equation of the line that passes through the point (3,-3) and has a slope of 0?
Blizzard [7]

Answer:

given us,

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Step-by-step explanation:

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