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
insens350 [35]
3 years ago
8

Using sum or difference formulas, find the exact value of sin(165∘)

Mathematics
1 answer:
Nikitich [7]3 years ago
6 0
\bf \textit{Sum and Difference Identities}
\\ \quad \\
sin({{ \alpha}} + {{ \beta}})=sin({{ \alpha}})cos({{ \beta}}) + cos({{ \alpha}})sin({{ \beta}})
\\ \quad \\
sin({{ \alpha}} - {{ \beta}})=sin({{ \alpha}})cos({{ \beta}})- cos({{ \alpha}})sin({{ \beta}})\\\\
-------------------------------\\\\

\bf sin(165^o)\implies sin(120^o+45^o)
\\\\\\
sin(120^o)cos(45^o)~+~cos(120^o)sin(45^o)\implies \cfrac{\sqrt{3}}{2}\cdot \cfrac{\sqrt{2}}{2}~+~\cfrac{-1}{2}\cdot \cfrac{\sqrt{2}}{2}
\\\\\\
\cfrac{\sqrt{6}}{4}~-~\cfrac{\sqrt{2}}{4}\implies \cfrac{\sqrt{6}-\sqrt{2}}{4}
You might be interested in
The water level in a swimming pool decreases from 60 inches to 58.25 inches in one week.
Keith_Richards [23]
I think it’s gonna be A.
8 0
3 years ago
15℅ of 6th grade teachers give homework over the holiday break. If 12 teachers give homework, how many total 6th grade teachers
hoa [83]

Answer:

12

Step-by-step explanation:

Its a trick question, 15% of 6th grade teachers give HW, but there are 12 teachers. its not gonna be 15% of 12, because you would also get a fraction of a teacher.

4 0
3 years ago
I NEED HELP ASAP!!!!!!!!!!!!!!!
bagirrra123 [75]

Answer:

\tan(j)  =  \frac{35}{12}  = 2 \times \frac{9}{12}

Step-by-step explanation:

remember: tan(theta) = opposite/adjacent

3 0
3 years ago
What happens to light when it strikes a smooth shiny surface?
ELEN [110]

Step-by-step explanation:

  • Light reflects from a smooth surface at the same angle as it hits the surface. For a smooth surface, reflected light rays travel in the same direction. This is called specular reflection. For a rough surface, reflected light rays scatter in all directions.
6 0
3 years ago
Read 2 more answers
Drag each number to the correct location on the table.
ASHA 777 [7]

Answer:

\text{Rational number} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{ Irrational number}

          3\sqrt{25}  \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \sqrt{141}\\\\\sqrt{256} \\\\1. \overline{ 1625} \\\\\frac{-11}{151}

Step-by-step explanation:

Since we believe it  

The number sequence is that those which can be described as \frac{p}{q} and that is not ending and recurring.  Figures that are unreasonable are also the ones, that are not \frac{p}{q} and therefore are non-ending, non-recurring.  

The number sequence is 3\sqrt{25} = 3 \times 5 = 15

Rational amount since it is classified as \frac{p}{q}  .\frac{-11}{151} is really a rational number.  

1.\overline{1.625} is a real function, since it does not end but repeats it.  

The rational number \sqrt {256} = 16

Unreasonable number \sqrt{141}.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Could someone pls help
    11·1 answer
  • What is 15x-4+20 into a decimal
    8·1 answer
  • Alan makes a fruit salad using strawberries and blueberries. He uses 5 cups of strawberries for every 3 cups of blueberries. Whi
    7·1 answer
  • PLEASE HELP :( A 12,000 gallon man made pond is being filled at a rate of 25 gallons per minute. At this rate, how many minutes
    15·2 answers
  • Please solve the inequality and explain
    8·1 answer
  • 1. For the following sequence name the 33rd term.<br> 17.23, 29, ....
    13·1 answer
  • Try to anwer this! i need helo alot of points if its correct &lt;3
    8·1 answer
  • The volume of a cube can be found using the equation V=s^3 where s represents the length of the sides of the cube. if a cube has
    11·1 answer
  • WILL MARK AS BRAINLIEST
    6·2 answers
  • A cell phone company charges
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!