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
Finger [1]
3 years ago
12

Write the following expression as a function of a positive acute angle. Use "+" to indicate a positive value and "-" to indicate

a negative value.

Mathematics
2 answers:
Sauron [17]3 years ago
6 0

Answer:

As property of trigonometric cosine function, we have:

cos(x) = cos(-x)

=> cos(-240) = cos(240)

Otherwise, we also have:

cos(x + 180) = -cos(x)

=> cos(240) = - cos(60)

=> cos(-240) = cos(+240) = -cos(+60)

Hope this helps!

:)

Goshia [24]3 years ago
3 0

Since the trigonometric functions are periodic, we know that

\cos(x)=\cos(x+360)

In this case, you have

\cos(-240)=\cos(-240+360)=\cos(120)

Finally, we have

\cos(120)=\cos(90+30)

and you can use the formula

\cos(90+x)=-\sin(x)

To conclude

\cos(120)=\cos(90+30)=-\sin(30)

You might be interested in
A laptop that originally cost $2000 is on sale for 55% off. What is the sale price of the laptop? What was the amount of the dis
DochEvi [55]
The sale price of the laptop is $1100. The discount amount is $900.
4 0
3 years ago
BUILDING A horse farm is developing a new indoor arena in a rectangular building. They want the width of the building to be 3y f
MakcuM [25]

Answer:

3y(4y+9)=12y^2+27y......

6 0
2 years ago
In the given diagram, find the values of x, y, and z.
SSSSS [86.1K]

Answer:

a. x = 36°, y = 36°, z = 34°

Step-by-step explanation:

X = 36° because x and 144° are supplementary angles and the sum of supplementary angles = 180°

The sum of interior angles in a triangle is equal to 180° since one of the angle is given as 110° the sum of z and y must be equal to 70° the option that fits these qualities is a. x = 36°, y = 36°, z = 34°

5 0
3 years ago
Select the representation that does not change the location of the given point. (4, 110°)
miss Akunina [59]

Answer:

(4,470°)

Step-by-step explanation:

The representation that does not change the location of (4, 110°) in polar coordinates are all points that are coterminal with the given point.

The only point among the given options that is coterminal with (4, 110°) is (4, 470)°

The two points have the same magnitude and 470°-360°=110°.

Since 110° is coterminal with 470° and the two points have the same magnitude with the same sign, the two points represent the same location in polar coordinates.

The correct choice is (4,470°)

3 0
3 years ago
3+×/2=10 <br> Is ×/2=7<br> And does ×=14
adoni [48]

3+\dfrac{x}{2}=10\qquad|\text{subtract 3 from both sides}\\\\\dfrac{x}{2}=7\qquad|\text{multiply both sides by 2}\\\\\boxed{x=14}

7 0
3 years ago
Other questions:
  • Which equation is the inverse of y=2x^2 - 8
    15·2 answers
  • Which of the following statements is true of imagined risks?
    14·1 answer
  • What would g equal in this equation? 3=g\-4 -5
    7·2 answers
  • What is the meaning of Zero on a number line
    7·1 answer
  • If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?
    14·1 answer
  • Bill rented a truck for one day. There was a base fee of $16.99, and there was an additional charge of 92 cents for each mile dr
    5·1 answer
  • Rewrite the equation so that it does not have fractions 2- 5/6x = 7/8
    9·1 answer
  • Factorise fullyc^3+ c^2​
    5·1 answer
  • The ratio of boys to girls is 4:5 what fraction of the club is boys?
    7·1 answer
  • Element X decays radioactively with a half life of 15 minutes. If there are 600 grams
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!