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Virty [35]
3 years ago
10

Prove the identity with steps. sin (x-y)/cos x sin y = tan x cot y -1​

Mathematics
1 answer:
Ad libitum [116K]3 years ago
5 0

Step-by-step explanation:

sin(x−y) / (cos x sin y)

Use angle sum/difference formula:

(sin x cos y − sin y cos x) / (cos x sin y)

Divide:

(sin x cos y) / (cos x sin y) − 1

Rearrange:

(sin x / cos x) (cos y / sin y) − 1

Simplify:

tan x cot y − 1

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You have just used the network planning model and found the critical path length is 30 days and the variance of the critical pat
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Answer:

0.726 is the probability that the project will be completed in 33 days or less.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30 days

Variance = 25 days

Standard Deviation,

\sigma = \sqrt{\text{Variance}} = \sqrt{25} = 5

We assume that the distribution of path length is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(completed in 33 days or less)

P( x \leq 33) = P( z \leq \displaystyle\frac{33 - 30}{5}) = P(z \leq 0.6)

Calculation the value from standard normal z table, we have,  

P(x \leq 33) = 0.726 = 72.6\%

0.726 is the probability that the project will be completed in 33 days or less.

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What is the slope of the line that passes through the points: (3,-4) & (9,0)?
Nadusha1986 [10]

Answer:

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Step-by-step explanation:

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3 years ago
Witch of the following is a true statement about a circle inscribed in a regular polygon
ss7ja [257]
The area of the circle is equal to the area of the polygon
4 0
3 years ago
What is The prime factorization of <br> is 24 × 5.
Anna [14]

Answer:

The prime factorization of the number 24 is 2 × 2 × 2 × 3.

4 0
2 years ago
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Mr.Chen left $45,000 to his aunt when he died. This was 5% of his total worth. a) how much was Mr.Chen worth when he died? Show
marysya [2.9K]

A) Mr Chen was worth:

45,000/5 = 9,000

9,000 x 100 = 900,000

The answer is 900,00

You can also write this as an equation.

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3 years ago
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