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
inysia [295]
3 years ago
5

Simplify cos(θ) − sec(θ) / sin(θ)

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
7 0
<span>Replace tan θ with sin θ/cos θ

= sin²θ/cos θ + cos θ

Now multiply the right-hand side by cos θ/cos θ to get the same denominator:

= sin²θ/cos θ + cos²θ/cos θ
= (sin²θ + cos²θ)/cos θ

The numerator is equivalent to 1:

= 1 / cos θ
= sec θ</span>
You might be interested in
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Divide
IgorC [24]

Answer:

The answer is option 2.

Step-by-step explanation:

Firstly, you must factorize the possible expressions :

\frac{ {x}^{2} - 2x - 15 }{x - 3}  \div  \frac{x - 5}{ {x}^{2} - 9 }

=  \frac{(x - 5)(x + 3)}{x - 3}  \div  \frac{x - 5}{(x - 3)(x  + 3)}

Next you have to divide by converting to multiplication :

= \frac{(x - 5)(x + 3)}{x - 3}  \times  \frac{(x - 3)(x + 3)}{x - 5}

Lastly, you can cut out the similar expressions :

=  \frac{(x - 5)(x + 3)(x - 3)(x + 3)}{(x - 3)(x  -  5)}

=  {(x + 3)}^{2}

7 0
3 years ago
When the velocity v of an object is very​ large, the magnitude of the force due to air resistance is proportional to v squared w
Sati [7]

Answer:

Step-by-step explanation:

The model fo the shell is given by the following equation of equilibrium:

\Sigma F = -b\cdot v^{2} - m\cdot g = m\cdot \frac{dv}{dt}

This first-order differential equation has separable variables, which are cleared herein:

\int\limits^t_{0\,s} \, dt = -\frac{m}{b} \int\limits^{0\,\frac{m}{s} }_{600\,\frac{m}{s} } {\frac{1}{ v^{2}+\frac{m}{b}\cdot g } } \, dv

The solution of this integral is:

t = -\frac{m}{2b}\cdot \left[\tan^{-1} \left(\frac{v}{\sqrt{\frac{m\cdot g}{b} } }\right) - \tan^{-1} \left(\frac{600}{\sqrt{\frac{m\cdot g}{b} } }\right)\right]

\tan^{-1} \left(\frac{v}{\sqrt{\frac{m\cdot g}{b} } }  \right)=-\frac{2\cdot b\cdot t}{m} + \tan^{-1}\left(\frac{600}{\sqrt{\frac{m\cdot g}{b} } }  \right)

\frac{v}{\sqrt{\frac{m\cdot g}{b} } }=\tan \left[-\frac{2\cdot b\cdot t}{m} + \tan^{-1}\left(\frac{600}{\sqrt{\frac{m\cdot g}{b} } }  \right)\right]

v = \sqrt{\frac{m\cdot g}{b} } \left [\frac{\tan \left(-\frac{2\cdot b \cdot t}{m}  \right)+ \left(\frac{600}{\sqrt{\frac{m\cdot g}{b} } }  \right)}{1 - \left(\frac{600}{\sqrt{\frac{m\cdot g}{b} } }  \right)\cdot \tan \left(-\frac{2\cdot b \cdot t}{m}  \right) }\right]

4 0
3 years ago
Find the area. Show your work.
Maksim231197 [3]
9*10(90) - 7*3(21) = 69
5 0
3 years ago
PLSSS HELP!! For the given ordered pairs, write a function rule relating x and y. (1,4), (2,9), (3,16), (4,25)​
LenKa [72]

Answer:

y=(x+1)^2

Step-by-step explanation:

we have the following

x=1;y=4\\\\x=2;y=9\\\\x=3;y=16\\\\x=4;y=25

the values of y are squares so we can write

x=1;y=2^{2} \\\\x=2;y=3^2\\\\x=3;y=4^2\\\\x=4;y=5^2

so as you can see when

x=n;y=(n+1)^2

so our relation is

y=(x+1)^2

3 0
3 years ago
A local store buys used video games. For each game bought, they would pay $18 less than the original price paid for the game. Wh
Sonbull [250]

Answer:

total amount =  n (d-18)

total amount = dn - 18n

Step-by-step explanation:

given data

pay  = $18 less than the original price

originally cost =  d dollars

sell  = n games

solution

we take original price paid for the game = d

and they will pay $18 less than the original price

so that can we say

d -18

and

when sold n games than the cost of n used games will be here

cost = n (d-18)

so it can express as

total amount =  n (d-18)

total amount = dn - 18n

7 0
3 years ago
Other questions:
  • Does the mapping diagram represent a function? Why or why not?
    13·1 answer
  • A shop recorded total sales of $2,000 on Monday. On Tuesday, its sales fell by 10%. On Wednesday, sales fell by another 20% comp
    13·1 answer
  • Add the mutiple fraction then simply the answer use #/# format 1/3+1/4+1+9=
    5·1 answer
  • Part A: write 2 1/4 as a decimal and a percent. Part B: write 4 as a fraction and a percent. Part C: Write 75% as a fraction and
    7·1 answer
  • Write the following numbers in standard form Thirteen thousand , eight , hundred forty three ,
    9·2 answers
  • 9u²v and which term are like terms?
    13·2 answers
  • Which statement correctly describes the relationship between the graph of f(x) = 2x and the graph of g(x) = f(x) - 4?
    12·1 answer
  • Simplify any fractions ! will mark as brainliest!
    10·2 answers
  • What is perpendicular to y = -2/3x - 1?
    7·1 answer
  • Find the percent<br><br> 3 is what percent of 8?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!