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3 years ago

What are some of the ways tan θ= sinθ/cosθ can be expressed?

Mathematics

1 answer:

MrRa [10]3 years ago

7 0

Answer:

We know that

$sinx=\frac{1}{cosecx}$

$cosx=\frac{1}{secx}$

Given $tanx=\frac{sinx}{cosx}$

$tanx=\frac{1}{cosecx\times cosx}$

$tanx=\frac{sinx \times secx }{1}$

$tanx=\frac{secx}{cosecx}$

$tan x= \frac{1}{cotx}$

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Two trains on opposite tracks leave the same station at the same

nikdorinn [45]

Answer:

20 minutes( 0.3333 hours) after they leave the station will they be 50 km apart, if the Two trains on opposite tracks leave the same station at the same time.

Step-by-step explanation:

One train travels at an average speed of 80 km/hr and the other travels at an average speed of 70 km/hr.

4 0

3 years ago

Please solve the following question.

miss Akunina [59]

The expected number of defective sample is 0.25

<h3>The probability distribution</h3>

The given parameters are:

Population, N = 30
Sample, n = 2
Selected, x = 4

Start by calculating the defective proportion using:

$p = \frac{x}{N}$

So, we have:

p = 4/30

p = 0.13

The probability distribution is calculated as:

$P(x) = ^nC_x * p^x *(1 - p)^{n - x}$

So, we have:

$P(0) = ^2C_0 * 0.13^0 *(1 - 0.13)^{2 - 0} = \frac{19}{25}$

$P(1) = ^2C_1 * 0.13^1 *(1 - 0.13)^{2 - 1} =\frac{23}{100}$

$P(2) = ^2C_2 * 0.13^2 *(1 - 0.13)^{2 - 2} = \frac{1}{100}$

So, the probability distribution is:

x 0 1 2

P(x) 19/25 23/100 1/100

<h3>The expected number of defective sample</h3>

This is calculated using:

$E(x) = \sum x * P(x)$

So, we have:

E(x) = 0 * 19/25 + 1 * 23/100 + 2 * 1/100

Evaluate

E(x) = 0.25

Hence, the expected number of defective sample is 0.25

Read more about binomial distribution at:

brainly.com/question/15246027

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8 0

2 years ago

Please help!! 7th grade math

ludmilkaskok [199]

Answer:

It would be the Line with the hot and cold in the center of the screen

Step-by-step explanation:

5 0

3 years ago

Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(1.25,

never [62]

Hello,

To find the scale factor, we need to determine how the points are changing.

Point A is changing from (5, 3) to (1.25, 0.75). Therefore, we can write the following two equations using K as the scale factor.

5k = 1.25 or 3K = 0.75

Solving either equation will give you a scale factor of 0.25.

Good luck,
MrEQ

4 0

3 years ago

A bank has $750,000 to lend for 7 months. It can lend it to a local contractor at a simple interest rate of 12%, or it can lend

Allisa [31]

Answer:

the answer is $7,000

Step-by-step explanation:

skhdbfvkj4ntgv.

6 0

3 years ago