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Vikki [24]
1 year ago
14

Prove the identities (sec^2-1)cot^2=1

Mathematics
1 answer:
In-s [12.5K]1 year ago
6 0

The trigonometric Identity proof (sec²θ - 1)cot²θ = 1 is as explained below.

<h3>How to prove trigonometric Identities?</h3>

We want to prove that;

(sec²θ - 1)cot²θ = 1

Now, we know from trigonometric identities that;

sec²θ - 1 = tan²θ

Thus, the left hand side of our original equation can be written as;

tan²θ * cot²θ

We also know in trigonometric identities that 1/tan θ = cot θ. Thus;

tan²θ * cot²θ can be written as;

tan²θ * (1/ tan²θ)

The above will cancel out to give us 1 which is also equal to the right hand side and as such our trigonometric proof is complete.

Read more about Trigonometric Identities at; brainly.com/question/7331447

#SPJ1

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Answer:

Variance = 24900

Standard Deviation = 157.7973        

Step-by-step explanation:

We are given the following in the question:

Number of admissions:    1000     1200    1500

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Formula:

E(x) = \displaystyle\sum x_iP(x_i)\\E(x) = 1000(0.6) + 1200(0.3) + 1500(0.1)\\E(x) = 1110\\E(x^2) =  \displaystyle\sum x_i^2P(x_i)\\E(x^2) = (1000)^2(0.6) + (1200)^2(0.3) + (1500)^2(0.1)\\E(x^2) = 1257000

Variance =

\sigma^2 = E(x^2) - (E(x))^2\\\sigma^2 = 1257000 -(1110)^2\\\sigma^2 =24900

Thus, the variance is 24900.

Standard Deviation =

\sigma = \sqrt{\sigma^2} = \sqrt{24900} = 157.7973

Thus, the standard deviation is 157.7973

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3 years ago
Please help!
Orlov [11]

Answer:

4+4+4=12

Step-by-step explanation:

Each cake needs  cups of flour. Therefore, the best estimate of the number of cups of flour that Nika used to make the three loaves is:

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Answer:

£08.22

Step-by-step explanation:

6*1.37=8.22

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2 years ago
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lapo4ka [179]

Answer:

x+y\geq 122

Step-by-step explanation:

Let x be the cost of a coat and y be the cost of the shoes.

We have been given that Taka bought a new coat and new shoes, so the cost of new coat and shoes will be x+y.

We are also told that Taka spent $122 on both items. As Taka had spend $122, so the cost of coat and shoes will be greater than or equal to 122.  

We can represent this information in an inequality as:

x+y\geq 122

Therefore, the inequality x+y\geq 122 represents our desired solution.

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Which inequalities are true? Check all that apply.
stich3 [128]

Answer:

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Step-by-step explanation:

I plugged them all into a calculator

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