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
weqwewe [10]
3 years ago
9

Prove that sin²∅+cos²∅=1 ?​

Mathematics
1 answer:
sasho [114]3 years ago
7 0

Step-by-step explanation:

Let ABC be a right angled triangle where there's a right angle in B . Let the measure of the angle BAC be ∅. So,

\sin(∅)  =  \frac{BC}{AC}

=  >   {\sin}^{2}∅ =  \frac{ {BC}^{2} }{ {AC}^{2} }

Also,

\cos(∅)  =  \frac{AB}{AC}

=  >  { \cos}^{2}∅ =  \frac{ {AB}^{2} }{ {AC}^{2} }

Now adding the values of sin^2∅& cos^2∅,

{ \sin}^{2} ∅ +  { \cos}^{2} ∅ =  \frac{ {BC}^{2} }{ {AC}^{2} }  +  \frac{ {AB}^{2} }{ {AC}^{2} }

=  >  { \sin}^{2} ∅ +  { \cos}^{2} ∅ =  \frac{ {AB}^{2} +  {BC}^{2}  }{ {AC}^{2} }

But we know that

{AC}^{2}  =  {AB}^{2}   +  {BC}^{2} by applying Pythagorean Theorem

So ,

=  >  { \sin}^{2} ∅ +  { \cos}^{2} ∅ =   \frac{ {AC}^{2} }{ {AC}^{2} }  = 1

You might be interested in
25 -(-x)=<br><br> Commutative property if addition
slava [35]
Answer: 25+x

Explanation: first you must distribute the negative to what is in the parentheses, which in this case is -x. a negative multiplied by a negative is a positive, so you now have 25 + x.
6 0
3 years ago
PLEASE HELP I AM BEGGIN YOU EXTRA POINTS AND BRAINLIEST PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Dovator [93]

Answer:

I dont know

Step-by-step explanation:

6 0
3 years ago
At the zoo it is important to keep a good balance of male and
shutvik [7]

Answer:

The answer is: 2/4

Step-by-step explanation:

There are a total of 4 panda bears, which makes 2 males and 2 females.

By making a fraction, you can say there are 2 panda bears, out of four.

5 0
3 years ago
The batter is on home plate, a pitch was tossed. The batter is 6 foot tall, he hits the ball 4ft above the ground. The ball land
Katarina [22]

Answer:

45 feet

Step-by-step explanation:

5 0
3 years ago
What is the correct answer?
MrRissso [65]

Answer:

Im not completely sure but i think its c

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • If 9a+8b+9c=-9 what is 81c+72b+ 81a
    7·2 answers
  • Help please i really really really need it.....
    8·1 answer
  • Write the number 0.00044 in scientific notation.
    14·1 answer
  • An analyst at a paper company made the table below of the sales by month at his company.
    9·2 answers
  • What does the number line represent?
    12·1 answer
  • K = at + w<br> Solve for T<br> Please helpp
    15·1 answer
  • The entrance to our school has a height of 10.5 feet. There are approximately 30.5 centimeters in 1 foot. What is the height of
    11·1 answer
  • Solve the rational equation x+3/3x-2-x-3/3x+2=44/9x^2-4
    8·1 answer
  • 24/7 as a fixed number
    12·2 answers
  • What is the inverse of the function fx) = 2x + 1?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!