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
stiv31 [10]
3 years ago
11

Why are the values for sine and cosine equal at 45°?

Mathematics
2 answers:
cestrela7 [59]3 years ago
8 0
For this case we have a rectangle triangle.
 The opposite leg is the sine of the angle.
 The adjacent catheto is the cosine of the angle.
 For 45 degrees, the length of both legs is the same.
 Thus,
 Sine (45) = Cosine (45)
 Answer:
 
The length of the legs is the same for a 45 degree angle.
Natasha_Volkova [10]3 years ago
3 0

Answer:

The complement of 45\degree is 45\degree.

Step-by-step explanation:

<u>Method 1</u>

From the isosceles right triangle; See diagram in attachment.

\sin(45\degree)=\frac{x}{x\sqrt{2} }


\sin(45\degree)=\frac{1}{\sqrt{2} }


\sin(45\degree)=\frac{\sqrt{2}}{2 }


Also;


\sin(45\degree)=\frac{x}{x\sqrt{2} }


\cos(45\degree)=\frac{1}{\sqrt{2} }


\cos(45\degree)=\frac{\sqrt{2}}{2 }

Hence;

\cos(45\degree)=\sin(45\degree)


<u>Method 2</u>

\sin(45\degree)=\cos(45\degree) because the complement of 45\degree is still 45\degree.


Complementary angles add to 90\degree.

In general if we have an angle \theta, then its complement is (90-\theta)\degree.

There is a relationship between the sine of an angle,\theta and the cosine of its complement,(90-\theta)\degree[/tex].


The relationship is that,

\sin(\theta \degree)=\cos((90-\theta)\degree).


If \theta=45\degree, then


\sin(45 \degree)=\cos((90-45)\degree).


\Rightarrow \sin(45\degree)=\cos(45\degree).


You might be interested in
PLZ HELP ME!!!(*´◒`*)
denpristay [2]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
(-5)*+2+(3+1)<br> Help??
IRINA_888 [86]

Answer:

1

Step-by-step explanation:

(-5)+2+(3+1)

= -5+2+4

= -3+4

= 1

4 0
3 years ago
A shepherd is paid rs.2400 for gazing 18 cows for 5 weeks.How much will be paid for gazing 20 cows for 8 weeks?
lys-0071 [83]

Answer:

Rs. 4266.67(approx) will be paid for gazing 20 cows for 8 weeks.

Explanation:

A shepherd is paid rs. 2400 for gazing 18 cows for 5 weeks .

⇒ Number of money paid for gazing 1 cow for 1 week is, \frac{2400}{18\times 5} =\frac{400}{15}= \frac{80}{3}

then,

for gazing 20 cows for 8 weeks is=  Rs. \frac{80}{3}\times (20\times 8)

Therefore, the amount paid for gazing 20 cows for 8 weeks is, \frac{80 \times 160}{3} = \frac{12800}{3} = Rs. 4266.66667 or Rs. 4266.67(approx)

7 0
3 years ago
What fraction is .675
Vitek1552 [10]
675/1000. Simplified it would be 27/40.
6 0
3 years ago
Pls help to get the answer
soldier1979 [14.2K]
When they say quotient, they want a fraction, so the answer for that would be
\frac{6}{10}
and the decimal form of that would be 0.6. You can get that from dividing 6 by 10 and solving with long division.
3 0
3 years ago
Other questions:
  • Rachel, Mario and Sanjit share some money in the ratios 4 : 3 : 9 Mario receives £96. Work out the difference between the amount
    5·1 answer
  • A store has two brands of pencils on sale for the day. Brand A comes in packs of 4 and Brand B comes in packs of 10. If an equal
    12·1 answer
  • Identify the terms of the expression. Then give the coefficient of each term. 11r+7s
    6·1 answer
  • Answer 16 and 17 with work
    15·1 answer
  • Find the total amount of the investment after 10 years if ​$6,000 is invested at ​7.82% compounded daily.
    15·2 answers
  • solve each equation by finding square roots. If the equation has no real number solution, write no solution. 64b^2=16
    10·1 answer
  • Express as an improper fraction 13 ⅔<br>​
    13·2 answers
  • An emergency room (ER) nurse noticed that there are an unusually high number of motor-vehicle accident injuries in the month of
    6·1 answer
  • 3-8(1+8x)=-133<br> Solve for x
    8·1 answer
  • Two copies of the same Rational Function are shown below.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!