1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rudik [331]
3 years ago
12

Trigonometry Trigonometric Functions Given: Cos θ = (3/5), Find: Csc θ

Mathematics
1 answer:
torisob [31]3 years ago
5 0

The value of \csc \theta is \frac{5}{4}

Explanation:

Given that the function cos \ \theta is cos \ \theta= \frac{3}{5}

We need to determine the value of \csc \theta

<u>The value of Opposite side of the triangle:</u>

The formula for cos \ \theta is given by

cos \ \theta= \frac{adj}{hyp}=\frac{3}{5}

The value of opposite side can be determined using the formula,

opp=\sqrt{hyp^2-adj^2

opp=\sqrt{5^2-3^2}

opp=\sqrt{25-9}

opp=\sqrt{16}=4

Thus, the value of opposite side is 4

<u>The value of </u>sin \ \theta<u>:</u>

The formula for sin \ \theta is given by

sin \ \theta= \frac{opp}{hyp}

Substituting the values, we have,

sin \ \theta= \frac{4}{5}

Thus, the value of sin \ \theta is \frac{4}{5}

<u>The value of </u>\csc \theta<u>:</u>

The formula for \csc \theta is given by

csc \ \theta=\frac{1}{sin \ \theta}

Substituting the values, we have,

csc \ \theta=\frac{1}{\frac{4}{5}}

csc\ \theta= \frac{5}{4}

Thus, the value of \csc \theta is \frac{5}{4}

Hence, the value of \csc \theta is \frac{5}{4}

You might be interested in
BRAINIEST And 50 pOINTS <br><br><br><br><br> PLEASE HELP
Sonja [21]
D. 62 degrees. 90=2x+x+3, 93=3x, 93/3=3x/3, 31=x, 2*31=62.
6 0
2 years ago
Solve <br> S = 2πr(h + r) for h
Margarita [4]

Answer:

S/2πr-r = h

Step-by-step explanation:

S = 2πr(h + r)

S/2πr = h+r

S/2πr - r = h

6 0
2 years ago
A retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for $8/pack. If the retailer sold all the sh
Karolina [17]

We have been given that a retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for $8/pack.

Further, we know that retailer sold all the shirts he purchased and profited $84 on the sale.

Let us first find LCM of 24 and 5. The LCM is 120.

Now, let us assume that the retailer bought 120x shirts. Therefore total profit will be:

\text{Profit=}(24x)(8)-(5x)(30)\\\text{Profit=}192x-150x\\\text{Profit=}42x\\

We can set this equal to the given profit to figure out the value of x first.

42x=84\Rightarrow x=2

Therefore, the retailer sold 120(2)=240 shirts, that is, 48 packs.

8 0
3 years ago
Read 2 more answers
Find the 107 term of the sequence -9, -5, -1, 3, 7, ....
Alex17521 [72]

the sequence is 4n-13, so substitute 107 into n and it will become 4(107)-13 =415

5 0
3 years ago
A new car is purchased for 24600 dollars. The value of the car depreciates at 5.5% per year. To the nearest year, how long will
boyakko [2]

Answer:

The number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

This can be calculated using the following formula:

Value of the Car = Purchase cost - (Annual depreciation expenses * N) ........ (1)

Where;

N = Number of years until the value of the car is 11300 dollars

Purchase cost = $24,600

Annual depreciation rate = 5.5%

Annual depreciation expenses = $24,600 * 5.5% = $1,353

Value of the car = $11,300

Substituting the value into equation (1) and solve for N, we have:

$11,300 = $24,000 - ($1,353 * N)

$1,353 * N = $24,000 - $11,300

$1,353 * N = $12,700

N = $12,700 / $1,353

N = 9.38654841093865

Rounding to the nearest year as required by the question, we have:

N = 9

Therefore, the number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • When factoring x^2 + 9x + 18, what's the first thing you should look at?
    15·1 answer
  • PLEAS HELP I'LL MARK BRAINIEST
    15·1 answer
  • ‼️‼️solve by substitution {2p-3r=6
    11·1 answer
  • Help please loves? I'm horrible at math.
    11·2 answers
  • The formula for the volume of a right circular cylinder is
    8·1 answer
  • HELP!!! <br> I need to know if this is Function or not a function.
    13·1 answer
  • A right triangle table top has legs that
    9·2 answers
  • What property justifies step?<br><br> 5(x-3)=20<br><br> x-3=4
    10·2 answers
  • A theater sells its reserved seats for $50 and on average sells 40 reserved seats per show. It has calculated that for every $1
    7·1 answer
  • AD and CD are tangents to the circle below<br> Calculate the size of angle 0
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!