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3 years ago

Write each number in expanded form then write the number, nine hundred ten

Mathematics

2 answers:

Sophie [7]3 years ago

4 0

The answer should be 900+10 then it should say nine hundred ten when you write it

Oxana [17]3 years ago

3 0

900+10= 910
There ya go! =)

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Show that √(1-cos A/1+cos A) =cosec A - cot A

Gennadij [26K]

Hi there!

$\sqrt{\frac{1-cosA}{1+cosA}} =$

We can begin by multiplying by its conjugate:

$\sqrt{\frac{1-cosA}{1+cosA}} * \sqrt{\frac{1+cosA}{1+cosA}} = \\\\\sqrt{\frac{(1-cosA)(1 + cosA)}{(1+cosA)(1 + cosA)}} =$

Simplify using the identity:

$1 - cos^2A = sin^2A$

$\sqrt{\frac{(1-cos^2A)}{(1+cosA)^2}} =\\\\\sqrt{\frac{(sin^2A)}{(1+cosA)^2}} =$

Take the square root of the expression:

${\frac{sinA}{1+cosA} =$

Multiply again by the conjugate to get a SINGLE term in the denominator:

${\frac{sinA}{1+cosA} * {\frac{1-cosA}{1-cosA} =\\$

Simplify:

${\frac{sinA(1-cosA)}{1-cos^2A} =$

Use the above trig identity one more:

${\frac{sinA(1-cosA)}{sin^2A} =$

Cancel out sinA:

${\frac{(1-cosA)}{sinA} =$

Split the fraction into two:

${\frac{1}{sinA} - \frac{cosA}{sinA} =$

Recall:

$1/sinA = cscA\\\\cosA/sinA = cotA$

Simplify:

$\frac{1}{sinA} + \frac{cosA}{sinA} = \boxed{cscA - cotA}$

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2 years ago

kelly will roll a number cube labeled 1 to 6. what is the probability kelly will roll a number greater than 3?

guapka [62]

Answer:

%50

Step-by-step explanation:

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3 years ago

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the penguin nursery is open two times a day 2/3 hour at noon and 5/12 hour in the afternoon.How much time is the penguin nursery

KonstantinChe [14]

2/3x4/4= 8/12
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3 years ago

Find the value of X, rounded to the nearest tenth. <br> A. 31.8<br> B. 31.4<br> C. 10.3<br> D. 10.7

Molodets [167]

Answer:

31.4

Step-by-step explanation:

x=18/sin35

x= 31.38

=31.4(nearest tenth )

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3 years ago

Madison has a collection of 220 coins. How many coins represent 5% of her

ella [17]

Answer:

220/x=100/5

(220/x)*x=(100/5)*x - we multiply both sides of the equation by x

220=20*x - we divide both sides of the equation by (20) to get x

220/20=x

11=x

x=11.

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3 years ago

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