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
serious [3.7K]
11 months ago
8

Use the drop-down menus to complete the solution to the equation cosine (startfraction pi over 2 endfraction minus x) = startfra

ction startroot 3 endroot over 2 endfraction for all possible values of x on the interval [0, 2pi].
Mathematics
1 answer:
Lilit [14]11 months ago
6 0

Use the drop-down menus to complete the solution to the equation cosine (start fraction pi over 2 end fraction minus x) = start fraction start root 3 end root over 2 end fraction for all possible values of x on the interval [0, 2pi].

Using trigonometric identities, the solution to the equation cos(\frac{\pi }{2}-x) = \frac{\sqrt{3} }{2} for all possible values of x on the interval [0, 2π].

What are trigonometric identities?

Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.

cos(\frac{\pi }{2}-x) = \frac{\sqrt{3} }{2}  \\\\cos(x)cos\frac{\pi }{2}+sin(x)sin \frac{\pi }{2} = \frac{\sqrt{3} }{2}\\\\cos(x)(0)+sin(x)(1) = \frac{\sqrt{3} }{2}\\\\sin(x) = \frac{\sqrt{3} }{2}\\\\x = \frac{\pi }{3}, \frac{2\pi }{3}

To learn more about trigonometric identities click here brainly.com/question/7331447

#SPJ4

You might be interested in
If f(x) = 1 - 2x^3, find the inverse of f.
Artyom0805 [142]
Swap x and y's positions

f(x) is another way of saying y, so basically tha initial function is y = 1-2x^3.

Change it up to x = 1-2y^3 and solve for y

X - 1 = - 2y^3

(X - 1)/-2 = y^3

So the cube root of ((x-1)/2) = y
7 0
2 years ago
What is the area of a sector with a central angle of \frac{5 \pi }{6} radians and a diameter of 5.6 in.? Use 3.14 for π and roun
kvasek [131]

Answer:

10.26 in²

Step-by-step explanation:

The area (A) of the sector is

A = area of circle × fraction of circle

  = πr² × \frac{\frac{5\pi }{6} }{2\pi }

  = π × 2.8² × \frac{5}{12} ≈ 10.26 in²

7 0
2 years ago
Determine a series of transformations that would map Figure E onto Figure F.
Margaret [11]

Answer:

Step-by-step explanation:

8 0
2 years ago
Kim is trying to save at least $450. She has already saved $75. She can babysit for $5 an hour. How many hours does Kim need to
larisa [96]

Answer:

70 hours.

Step-by-step explanation:

you need to subtract 450 from 75 which tells you you need 350 more dollars then you need to do 5x70 which gives you 350.

7 0
2 years ago
Find Missing Angle
Neporo4naja [7]

Answer:

75 degrees

Step-by-step explanation:

Use trigonometry

we are given opposite(27) and hypotenuse(28), so use sin

sin=opp/hyp

sin(x)=27/28

x=arcsin(27/28)

x=74.64111442

6 0
3 years ago
Other questions:
  • Which ratio forms a proportion with the following ratio? Six apples for every five oranges. A) Twenty-four apples for ever fifte
    8·1 answer
  • You and two friends visit a pizza shop. There are 14 toppings. 7 toppings are meat and the rest are vegetable. Each of you order
    12·1 answer
  • 3x+4x+5=19 what is the solution for x
    15·1 answer
  • At the beach, 29% of people are on the boardwalk and 26% are on the sand. If the rest are in the water, what percentage of peopl
    10·1 answer
  • What is the percent that is equal to 0.02
    5·2 answers
  • If a teacher had 10 percent of her students fail, how many would that be if she had 130 students
    15·2 answers
  • The value of $\sqrt{73}$ is between two positive, consecutive integers. What is the product of these two integers?
    5·1 answer
  • I just need help on number one
    12·1 answer
  • Please help asap thanks so much!
    8·1 answer
  • A garden table and a bench cost $714 combined. The garden table costs $64 more than the bench. What is the cost of the bench?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!