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
posledela
3 years ago
10

Suppose that cot θ = c and 0 < θ < π 2 . what is a formula for cos θ in terms of c?

Mathematics
1 answer:
loris [4]3 years ago
5 0

Answer:

<h3>cosθ = c/√1+c²</h3>

Step-by-step explanation:

Given cot θ = c and 0 < θ < π/2

In trigonometry identity:

cotθ  = 1/tanθ = c

1/tanθ = c

cross multiply

tanθ  = 1/c

According to SOH, CAH, TOA:

Tanθ = opposite/adjacent = 1/c

cosθ = adjacent/hypotenuse

To get the hypotenuse, we will use the pythagoras theorem:

hyp² = opp²+adj²

hyp² = 1²+c²

hyp = √1+c²

Find cosθ in terms of c

cosθ = c/√1+c²

Hence the formula for cos θ in terms of c is cosθ = c/√1+c²

You might be interested in
F(x)=2/3x+4 then what is the translation of h(x)= —f(x)​
choli [55]
I would think a reflection across the x-axis but I’m not sure
7 0
3 years ago
Ben left a 20% tip for his later if he left $4.20 how much did his bill come before the tip
Nataly [62]

Answer: 21 dollars was his bill before the tip

Step-by-step explanation: 4.20 is 20% of what he paid with no tip included. This means you can set up an equation like this.

4.20 = .2x      This means that $4.20 is (is means =) 20% of (of means multiply) x (which is the unknown factor).

7 0
4 years ago
Read 2 more answers
F(x)=3x-2<br> h(x)=3x<br> g(x)=x squared<br> find the value of x when f(x)=19
Yuliya22 [10]

The value of f(19) in the given equation is 55.

<h3>What is the function of a linear equation?</h3>

The function of a linear equation illustrates a straight line graph and for a given set of input into the function, there is usually a specific output.

Given that:

  • f(x) = 3x - 2

We are to find the f(x) = 19.

So;

f(19) = 3(19) - 2

f(19) = 57 - 2

f(19) = 55

Learn more about the function of  a linear equation here:

brainly.com/question/14323743

#SPJ1

4 0
2 years ago
Is (-3, -2) a solution to the equation y = -2x + -8?
denis23 [38]

Answer:

(-3, -2) is a solution of y = -2x + -8

Step-by-step explanation:

y = -2x + -8

(-3, -2) are the coordinates of P(x,y)

-2= -2(-3) - 8

-2 = +6 - 8

-2 = -2

Since LHS = RHS, (-3, -2) is a solution of y = -2x + -8

4 0
3 years ago
If philips commission is 4%, and he sells 15,000 worth of electronics .what are his earnings
serious [3.7K]
$15,000 x 0.04 = $600
3 0
3 years ago
Other questions:
  • PLZ HELP WITH MATH
    15·1 answer
  • What is three cubed squared
    10·2 answers
  • Select the correct answer from each drop-down menu. Identify the investment type and complete the description. _____offer corpor
    5·1 answer
  • FAN AND MEDAL!!
    15·1 answer
  • A football stadium holds 52,000 fans. A college student is doing research and determines that on any given game day, the home te
    7·1 answer
  • A toy previously sold for $10.00 now sells for 75 cents. Calculate the decrease in the value of the toy
    15·1 answer
  • Winnie wrote the following riddle.I am a number between 60 and 100.My ones digit is two less than my tens digit.I am a prime num
    13·1 answer
  • The linear equation 99​(xminus−77​)equals=99​(xplus 88​) is
    14·1 answer
  • Plzzzzzzzzzzzzzzzzzzzz halppppppppppppppppp
    8·1 answer
  • Find the equation of the line that goes through (-8,11) and is perpendicular to x= - 15. Write the equation in the form x = a, y
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!