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
inessss [21]
3 years ago
12

Find the exact value of sin(-15)

Mathematics
1 answer:
koban [17]3 years ago
7 0
1)\ \ \ sin(- \alpha )=-sin \alpha \\2)\ \ \ cos2 \alpha =1-2sin^2 \alpha \ \ \ \Rightarrow\ \ \ 2sin^2 \alpha =1-cos2 \alpha \\\\ \Rightarrow\ \ \ sin \alpha = \sqrt{\frac{\big{1-cos2 \alpha}}{\big{2}}}  \\\\\\sin(-15^0)=-sin15^0=-\sqrt{\frac{\big{1-cos30^0}}{\big{2}}}  =-\sqrt{\frac{\big{1- \frac{ \sqrt{3} }{2} }}{\big{2}}} =-\sqrt{\frac{\big{2- \sqrt{3}}}{\big{4}}} =\\\\ =- \frac{1}{2}  \sqrt{2- \sqrt{3}}
You might be interested in
P(A) = 0.8, P(B) = 0.55 and P(A and B) = 0.35.<br> What is P(A or B)?
Likurg_2 [28]
<h3>Answer:  1</h3>

Work Shown:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.8 + 0.55 - 0.35

P(A or B) = 1.35 - 0.35

P(A or B) = 1

A probability of 1 means there is 100% certainty the event happens. This must mean that there are only possible outcomes are: either event A happens, or B happens, or possibly both A and B happen simultaneously.

7 0
2 years ago
Read 2 more answers
If you apply these changes to the linear parent function f(x)=x what is the equation of the new function vertically compressed b
egoroff_w [7]
1x100 that is the answer
3 0
2 years ago
Read 2 more answers
Which statements are true when using algebra tiles to solve the equation 8x + (–4) = 11x + 5?
kogti [31]

Answer:

See explanation

Step-by-step explanation:

You are given the equation 8x+(-4)=11x+5

1. Add 8 negative x-tiles to both sides of the equation to create a zero pair on the left side. The equation then will have form

8x+(-4)+(-8x)=11x+5+(-8x)\\ \\-4=3x+5

2. Add 5 negative unit tiles to both sides of the equation to create a zero pair on the right side. The equation now is

-4+(-5)=3x+5+(-5)\\ \\-9=3x

3. Divide both sides by 3:

\dfrac{3x}{3}=\dfrac{-9}{3}\\ \\x=-3

7 0
3 years ago
Read 2 more answers
Thomas bought a case of 6 apple juice bottles and one 3-liter bottle of orange juice. Each apple juice bottle contains 2 liters
OleMash [197]
So...
Each bottle of apple juice has 2 litters of juice, so, if he bought y bottles of apple juice, we will have to multiply.
6*2=12

12 liters of apple juice
3 liters of orange juice
6 0
2 years ago
Please help me i dont get it
Vladimir [108]

Answer:

a) (x+2)(x+3)

b) (x+2)(x+3)=0, x=-2 and x=-3

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Which expression is equivalent to √2/^3√2
    7·2 answers
  • PLEASE HELP!
    10·1 answer
  • 3.4z + 6.3 = -1.7z + 41.7<br><br> What’s z?
    8·1 answer
  • Ax + By = C for x. plz sove
    5·1 answer
  • What values of x and y satisfy x − 3y = 4 and 2x + y = 7 simultaneously?
    8·1 answer
  • the number off standard deviations between a score and the mean score indicated by a z-score. what was Cindy's z-score on the sc
    10·1 answer
  • 55 million ÷ one thousand
    13·2 answers
  • Use grid paper to find the median of the data. 16, 24, 13, 36, 22, 26, 22, 28, 25 will give Briainelst​
    9·1 answer
  • Which point is located at 2 StartFraction 7 Over 10 EndFraction? A number line going from 2 to 3. There are 10 equal spaces betw
    14·2 answers
  • a shark can swim 4 kilometers in 1/10 hours A blue whale can swim 5 kilometers in 1/4 which one is the fasts UNIT RATE
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!