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
Nana76 [90]
3 years ago
8

Can someone help me with this? sin150° =

Mathematics
2 answers:
ElenaW [278]3 years ago
8 0

ANSWER

\sin(150 \degree) =  \frac{1}{2}

EXPLANATION

The principal angle for 150° is 30°.

The terminal side of 150° is in the second quadrant.

In this quadrant the sine ratio is positive.

This implies that;

\sin(150 \degree)= \sin(30 \degree)

On the unit circle,

\sin(30 \degree)   =  \frac{ 1 }{2}

Therefore

\sin(150 \degree)= \sin(30 \degree)   =  \frac{1 }{2}

marusya05 [52]3 years ago
6 0

Answer:

sin(150°) = 1/2

Step-by-step explanation:

* Lets study how we can solve this problem

- At first the measure of the angle is 150°

- Ask your self in which quadrant can you find this measure

* To know the answer lets revise the four quadrants

# First quadrant the measure of all angles is between 0° and 90°

  the measure of any angle is α

∴ All the angles are acute

∴ All the trigonometry functions of α are positive

# Second quadrant the measure of all angles is between 90° and 180°

  the measure of any angle is 180° - α

∴ All the angles are obtuse

∴ The value of sin(180° - α) only is positive ⇒ sin(180° - α) = sinα

# Third quadrant the measure of all angles is between 180° and 270°

  the measure of any angle is 180° + α

∴ All the angles are reflex

∴ The value of tan(180° + α) only is positive ⇒ tan(180° + α) = tanα

# Fourth quadrant the measure of all angles is between 270° and 360°

  the measure of any angle is 360° - α

∴ All the angles are reflex

∴ The value of cos(360° - α) only is positive ⇒ cos(360° - α) = cosα

* Now lets check the angle of measure 150

- It is an obtuse angle

∴ It is in the second quadrant

∴ the value of sin(150) is positive

∴ sin(150°) = sinα

∵ 180 - α = 150 ⇒ isolate α

∵ α = 180° - 150° = 30°

∴ sin(150°) = sin(30°)

∵ sin(30°) = 1/2

∴ sin(150°) = 1/2

You might be interested in
What is the complete factorization of r2 - 6r - 9s2 + 9? A) (r - 3 + 3s)(r - 3 - 3s) B) (r + 3 + 3s)(r - 3 - 3s) C) (r - 3 + 3s)
nikitadnepr [17]
r^2-6r-9s^2+9=r^2-6r+9-9s^2=r^2-2\cdot r\cdot3+3^2-9s^2\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=(r-3)^2-9s^2=(r-3)^2-(3s)^2\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(r-3-3s)(r-3+3s)\to A
6 0
3 years ago
Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was t
IrinaVladis [17]

Answer:

<em>The brand name television's dimensions are 32 inches by 64 inches.</em>

Step-by-step explanation:

<u>Scaling</u>

Jason is considering two similar televisions at a local store. The sizes of the generic television are 3/8 the size of the brand name.

If we knew the size of the brand name television, we would have to multiply its dimensions by 3/8, but instead, we have the dimensions of the generic television, so to find the brand name television, we multiply by 8/3.

12 inches * 8/3 = 32 inches

24 inches* 8/3 = 64 inches

The brand name television's dimensions are 32 inches by 64 inches.

8 0
3 years ago
Read 2 more answers
Jacob works part time as a cashier at a drugstore. his gross pay for the year was $8000. Based on his income level, the federal
natta225 [31]
The answer for this question would be the letter c I think well I guess
3 0
2 years ago
Which formula is used to find the volume of a pyramid? A) Area of its base · height. B) 1 2 (Area of its base · height) C) 1 3 (
serg [7]

Answer:

the formula for finding the volume of a pyramin is (lenght*width*height)/3

or (area of base*height) divided by 3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If the correlation between variable a and variable b is .20, then variable a explains _____ of the variance in variable
timofeeve [1]

The answer would be b. I think.

4 0
3 years ago
Other questions:
  • Need help graphing each linear function?
    15·1 answer
  • In triangle MNO shown below, segment NP is an altitude:
    11·1 answer
  • The center of a circle is located at c(3,-13). the x-axis is tangent to the circle at (3,0). find the equation of the circle.
    7·1 answer
  • I have no idea please help
    14·1 answer
  • Ironman went to the store and bought 2 shirts that were the same amount and a pair of shoes. The shoes cost 12.50. If his total
    11·1 answer
  • I'm confused on this help ??
    13·1 answer
  • Write the equation in slope-intercept form of the line that passes through
    13·1 answer
  • Multiply and simplify the following products. V stands for radical.
    15·1 answer
  • Please help me with this question
    7·2 answers
  • What is the domain and range ?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!