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Paha777 [63]
4 years ago
8

Trigonometry Trigonometric Equations csc x cot x + cot x = 0; x [ 0, 2π ]

Mathematics
2 answers:
lora16 [44]4 years ago
6 0

Answer:

x = π/2, 3π/2

Step-by-step explanation:

cosecxcotx + cotx = 0

cotx(cosecx + 1) = 0

cotx = 0

x = π/2,

π + π/2 = 3π/2

cosecx = -1

x = 3π/2

x = π/2, 3π/2

san4es73 [151]4 years ago
5 0

Answer:

x=π/2 ,3π/2

Step-by-step explanation:

cot x(csc x+1)=0

either cot x=0

tanx=∞=tan (π/2)

x=π/2

or csc x=-1

or sin x=-1=-sin (π/2)=sin (π+π/2)=sin (3π/2)

x=3π/2

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A truck is 300 miles east of a car and is traveling west at the constant speed of 30 miles/hr meanwhile the car is going north a
Lerok [7]

Answer:

d(t)=\sqrt{(300+30t)^2+(60t)^2}

Step-by-step explanation:

Let t represents the time in hours,

We know that,

Speed =\frac{Distance}{Time}

\implies Distance = Speed\times time

Since, the speed of truck = 30 miles per hour,

So, the distance covered by the truck in t hours = 30t miles,

Similarly,

Speed of car = 60 miles per hour,

So, the distance covered by car in t hours = 60t miles,

∵ Truck is 300 miles east of the car initially,

Thus, the distance of the truck from the starting point = 30t + 300,

While the distance of the car from the starting point = 60 t,

Now, these two vehicles are going in the directions which are at right angled ( car is going north and truck is going west )

Using the Pythagoras theorem,

Distance between them after t hours,

d(t)=\sqrt{(300+30t)^2+(60t)^2}

Which is the required function.

3 0
3 years ago
Which number is not a rational number? <br> -5 times 4/11<br> root31<br> 7.608<br> 18.46 continuing
rewona [7]

I think its the second one, the answer does not have a definite and, and cannot be put into a ratio.

3 0
3 years ago
Read 2 more answers
Two middle school classes take a vote on the destination for a class trip. Class A has 25 students, 56% of whom voted to go to S
Kryger [21]

Answer:

The value of <em>n </em>is 15.

Step-by-step explanation:

The combined proportion is computed using the formula:

P=\frac{n_{A}\cdot p_{A}+n_{B}\cdot p_{B}}{n_{A}+n_{B}}

The information provided is as follows:

n_{A}=25\\p_{A}=0.56\\n_{B}=n\\p_{B}=0.60\\P=0.575

Compute the value of <em>n</em> as follows:

P=\frac{n_{A}\cdot p_{A}+n_{B}\cdot p_{B}}{n_{A}+n_{B}}

0.575=\frac{25\times 0.56+n\times 0.60}{25+n}\\\\0.575(25+n)=14+0.60n\\\\14.375+0.575n=14+0.60n\\\\0.60n-0.575n=14.375-14\\\\0.025n=0.375\\\\n=15

Thus, the value of <em>n </em>is 15.

6 0
3 years ago
You go to your favorite store and buy 3 hats h and 2 scarves s you spent $36 total
amid [387]

Answer:

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6 0
3 years ago
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The conversion rate for US Dollars to Costa Rican Colones is 1 USD = 518 Colones.
allsm [11]

The cost of 0.5 kg of bananas is 393.60 Colones as per the given conversion rates

Conversion rate of 1 USD to Costa Rican Colones = 518 Colones

The conversion rate of kg to pounds given in the question: 1 kg = 2.2025 lbs

Cost of one pound of bananas = $0.69

Bananas required to be purchased = 0.5kg

Converting 0.5kg bananas to pounds = 0.5*2.2025 = 1.10125 pounds

Cost of 1.10125 pound of bananas in dollars = 1.10125*0.69 = 0.7598

Cost of 1.1025 pounds of bananas in Colones = 0.7598*518 = 393.60 Colones

Hence, the cost is 393.60

Therefore, the cost of 0.5 kg bananas in Colones is 393.60 Colones

Learn more about conversion rate:

brainly.com/question/2274822

#SPJ1

5 0
1 year ago
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