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
DiKsa [7]
4 years ago
11

HELP <3 Match the expressions with their solutions.

Mathematics
1 answer:
densk [106]4 years ago
6 0

Answer:

1 ) sin 165°

2 ) cos 330°

3 ) Tan 157.5°

4 ) sin^2 157.5

Step-by-step explanation:

1 )

Given expression is  \sqrt{\frac{1-cos330}{2} }

We know that cos2x=1-2sinx^{2}

sinx^{2}=\frac{1-cos2x}{2}

(sinx/2)^2=\frac{1-cosx}{2}

So the first expression is sin (330/2)° =sin 165°

2 )

GIven expression is  1-2sin^2165

We know that cos2x=1-2sinx^{2}

So the result is cos 330°

3 )

Given expression is \frac{1-cos 315}{sin315}

We know that cos2x=1-2sinx^{2}

Also we know that sin2x = 2sinxcosx

So The numerator becomes 2sin^2x/2. and the denominator becomes as 2sinx/2cosx/2

\frac{2sin^2x/2}{2sinx/2cosx/2}=tanx/2

So the result is Tan 157.5°

4 )

Given expression is \frac{1-cos 315}{2}

We know that cos2x=1-2sinx^{2}

(sinx/2)^2=\frac{1-cosx}{2}

So the result is sin^2 157.5

You might be interested in
Plot the approximate values of and on a number line and determine which of the following statements are correct.
Vika [28.1K]

9514 1404 393

Answer:

  • square root of 5 is approximately 1 less than square root of 10
  • square root of 10 is between 3.1 and 3.2
  • square root of 10 is less than 3.5

Step-by-step explanation:

√5 and √10 are plotted on the number line shown below.

Rounded to 1 decimal place, √5 ≈ 2.2 and √10 ≈ 3.2, so it could be said they differ by about 1 unit. The above answer choices are the ones that match the graph.

8 0
3 years ago
Cos²x + sin^2x/cscx-cot^2x
Anna [14]

Answer:

1.

Step-by-step explanation:

I am assuming you want to simplify this.

cos^2 x + sin^2 x = 1 and

csc^2 x = 1 + cot^2 x   so  csc^2x - cot^2 x = 1

So the answer is 1/1 = 1.

5 0
3 years ago
The entertainment section of the local magazine needs to know the number of movies showing dally in nearby theaters.
Ksju [112]
The interquartile range is the difference between the upper quartile and the lower quartile.

• The upper quartile is the line that is on number 22 on the number line
• The lower quartile is the line that is on number 16 on the number line

22-16 = 6 and that’s your IQR!
5 0
3 years ago
Translate the word phrase into a math expression.
Afina-wow [57]
Answer: n+12 explanation: you’re just adding 12 more to the number or variable.
6 0
3 years ago
Maurizio has a rectangular swimming pool she fills it with water to a depth of 12 feet the water has a volume of 1800 cubic feet
Alina [70]

Answer:

thanks

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • ​ ∠3 ​ and​ ​ ∠4 ​ ​are complementary angles.
    11·2 answers
  • Help with number 13 please if someone can please
    13·1 answer
  • Find the midpoint of A and B where A has coordinates (2, 4)<br> and B has coordinates (-3,-9).
    14·1 answer
  • Please help me in question 9 and please explain it
    10·2 answers
  • Find the volume of a cylinder with a diameter of 10ft and height of 20ft
    8·2 answers
  • Brainliest question please please help me now plz
    12·1 answer
  • Marta has 2 meters 80 centimeters of cotton cloth and 3 meters 87 centimeters of linen cloth. What is the total length of both p
    13·1 answer
  • THIS IS MULTIPLE CHOICE
    12·1 answer
  • Help me please ASAP I would mark brainliest
    7·2 answers
  • Plss help it’s a test I’ll give 10 points
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!