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
Which of the following sets of numbers could be the lengths of the sides of a triangle?
katrin2010 [14]
A 7.4cm, 10.5cm, 15.5 cm

5 0
3 years ago
Megan bought 50 beads for $9.95. she received a 10% discount, she paid a sales tax of 6%. how much did she pay fro the beads
In-s [12.5K]
$9.49; 10% of $9.95 is $0.995 which rounds up to a dollar; $9.95 - $1.00 = $8.95; 6% of $8.95 = $0.537 which rounds up to $0.54, so total paid is $8.95 + $0.54 = $9.49.
4 0
3 years ago
David is going to buy a cooker.
valina [46]

Answer:

David should pay £48 as deposit.

Step-by-step explanation:

Price of cooker = £320

Deposit price of Cooker = 15%

We need to find How much money does David pay as a deposit?​

For finding deposit money we will find:

15% of 320

Solving:

15\% \ of \ 320\\=15\% \times 320\\=\frac{15}{100}\times 320 \\=48

So, David should pay £48 as deposit.

5 0
3 years ago
I need help with this.
mrs_skeptik [129]
The answer to the question. Estimated at 60,000

6 0
3 years ago
What is the answer to 5 × 3/4=
Firlakuza [10]
The answer is 3.75 hope this helped
8 0
3 years ago
Read 2 more answers
Other questions:
  • a rectangle has an area of  42 square inches which has a greater perimeter the rectangle with the dimensions 21 times 2 or the d
    5·2 answers
  • If the point (x,square root 3/3) is on the unit circle, what. is x? A) 2/3
    15·1 answer
  • The first year he invested $1,000 and made 10% in interest. The second year he was so excited that he added $2,000 to his origin
    5·1 answer
  • You are preparing a bid to offer 200 rooms at $136.50 per night for three nights.what is the total amount of the bid?
    10·1 answer
  • What is the square root of ten
    10·1 answer
  • What is the slope of the line that cuts through the points (1, -5) and (3, 5)
    15·1 answer
  • Help please i really need help please ! i will upvote
    11·1 answer
  • A bag of popcorn contains 438 calories and serves 3.5 people how many calories are in each serving
    13·2 answers
  • 9/4 divided by 3/8<br> PLEASE HELP
    8·2 answers
  • Divide. Write the quotient in lowest terms.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!