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
Papessa [141]
3 years ago
13

Can someone help solve this, thanks.

Mathematics
1 answer:
qwelly [4]3 years ago
6 0

Given:

\alpha, \beta, \gamma are three interior angles of any triangle.

To prove:

\cos (\alpha+\beta+\gamma)=-1

Solution:

Angle sum property of a triangle: According to this theorem the sum of all three interior angle of a triangle is always 180 degrees.

It is given that, \alpha, \beta, \gamma are three interior angles of any triangle.

By using the angle sum property of triangles, we get

\alpha+\beta+\gamma =180^\circ              ...(i)

We need to prove,

\cos (\alpha+\beta+\gamma)=-1

Taking LHS, we get

LHS=\cos (\alpha+\beta+\gamma)

LHS=\cos (180^\circ)                [Using (i)]

LHS=-1

LHS=RHS

Hence proved.

You might be interested in
adult tickets to a movie cost $12 while children tickets cost $5. if a total of 500 tickets were sold and if $3550 was collected
svp [43]
The answer to the question

5 0
3 years ago
How much is 74 divided by 4
exis [7]

Answer:

18.5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
I need help? Can you please tell me
BaLLatris [955]

Answer:

whats the questun

Step-by-step explanation:

7 0
2 years ago
An internal angle of a regular polygon is 160 degrees, how many sides does it have
Softa [21]
They should have 53
3 0
3 years ago
Some one please help me fast!!
Pie

Answer:

A) 10^23

Step-by-step explanation:

if bases are the same and you're multiplying then:

keep the base and add the exponents

8 0
2 years ago
Other questions:
  • Help! this is hard :(( (10 points) :c
    11·2 answers
  • Brandon has a stack of books on his desk. The first book has 10 pages. The second book has twice as many pages. The third book h
    8·1 answer
  • What is 1 plus 1 what is t6he sum of that
    6·1 answer
  • Solve the problem. Make sure your answer is in simplest form and improper fractions are expressed as mixed numbers. 1/5 x 6/7?i
    11·2 answers
  • Analyze the scatterplot and determine the equation that
    13·2 answers
  • Find MO and PR <br> .......................
    7·1 answer
  • Plz help me I don’t know this stuff
    8·2 answers
  • Part of Rafael's monthly pay stub is shown. Based on these deductions, what was his net pay? Enter your answer rounded to the ne
    12·1 answer
  • I NEED HELP NOW MY ASIGNMENT IS DUE BEFORE 8;00 PLZZZ HELP AND PUT A ANSWER THAT HASN'T BEEN USED(05.02)Mr. Morris is going to s
    10·2 answers
  • A book with 650 pages has 3 pages with diagrams.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!