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
lys-0071 [83]
3 years ago
8

Verify that (1+cos2theta)/(costheta)=2costheta is an identity.

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
3 0

\bf \textit{Double Angle Identities} \\\\ cos(2\theta)= \begin{cases} cos^2(\theta)-sin^2(\theta)\\ 1-2sin^2(\theta)\\ 2cos^2(\theta)-1&\leftarrow \textit{we'll use this one} \end{cases}\\\\[-0.35em] \rule{31em}{0.25pt}\\\\ \cfrac{1+cos(2\theta )}{cos(\theta )}=2cos(\theta )\\\\[-0.35em] ~\dotfill\\\\ \cfrac{1+[2cos^2(\theta )-1]}{cos(\theta )}\implies \cfrac{2cos^2(\theta )}{cos(\theta )}\implies \cfrac{2\underline{cos(\theta )} cos(\theta )}{\underline{cos(\theta )}}\implies 2cos(\theta )

You might be interested in
Question 6 of 10
jek_recluse [69]

Answer:

c=18

Step-by-step explanation:

5 0
3 years ago
The diameter of a circle is 23 inches and the circle has two chords of length 14 inches what is the distance from each chord to
Svetradugi [14.3K]

Answer:

9.12 + 9.12 = 18.24 inches

Step-by-step explanation:

Diameter = 23 inches (given)

Radius = 11.5 inches

2 Chords of length = 14 inches ( You didn't specify if the 14 inches is for both chords or for a single cord. I'll assume it's for two cords 14 and 14inches apart.

To clearly solve this, we'll make some mild assumptions.

Let the perpendicular distance of the chords from the center of the circle to represented as " x and y"

Therefore:

x^2 + 7^2 = 11.5 ^ 2

x^2 + 49 = 132.25

x^2 = 132.25 - 49

x^2 = 83.25

x = √ 83.25

x = 9.12 inches

Since the cords have thesame length (Assumed from the way the question was structured, the distance would still be thesame)

y^2 + 7^2 = 11.5 ^ 2

y^2 + 49 = 132.25

y^2 = 132.25 - 49

y^2 = 83.25

y = √ 83.25

y = 9.12 inches

Therefore, the distance will be :

9.12 + 9.12 = 18.24 inches

Have fun!

6 0
3 years ago
which of the following are the building blocks of geometry, according to hilbert? ray line angle point plane
statuscvo [17]
The building blocks of geometry would be point line and plane. 
8 0
3 years ago
Read 2 more answers
Express in terms i root of -40
tensa zangetsu [6.8K]

Answer:

6.32455532i

Step-by-step explanation:

Use the square root calculator too find it

5 0
2 years ago
Find the perimeter of the polygon
malfutka [58]
The answer is 24. 
8 + 8 + 4 + 4 = 24
7 0
2 years ago
Read 2 more answers
Other questions:
  • I need help.. A diameter of a circle has endpoints p(-10, -2) and q(4, 6)
    11·1 answer
  • Do integers have to be a set of positive and negative numbers?
    13·1 answer
  • Which statement is correct?
    7·2 answers
  • Which line is a slop that is positive
    12·2 answers
  • A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (Approximate to the nearest
    8·1 answer
  • Pleaaaaaasssseeeeee help me with this
    7·2 answers
  • Can sum1 answer asap and pls give explanation :)
    10·2 answers
  • question i like this girl but she keeps throwing me to the curve evertime we get close and just doesnt talk to me but gets with
    12·2 answers
  • What is 9 · y − 8 ÷ 4 when y = 5??
    5·1 answer
  • Which hiker walks farther in one hour which is faster
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!