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
Vesnalui [34]
3 years ago
14

Help guys with the question

Mathematics
1 answer:
Naya [18.7K]3 years ago
7 0

Answer:

\sin\Big(\dfrac{\theta }{2}\Big) = \dfrac{2\sqrt 5}{5}

Step-by-step explanation:

\cos(2x) = \cos^2 x-\sin^2 x = 1-2\sin^2 x \\ \\ \cos(x) = 1-2\sin^2 (\frac{x}{2}) \\ \\ \Rightarrow \sin^2 (\frac{x}{2}) = \dfrac{1-\cos(x)}{2}\\ \\ \sin(\frac{x}{2}) = \pm \sqrt{\dfrac{1-\cos(x)}{2}},\quad x\in [\frac{3\pi }{2},\pi] \Rightarrow \frac{x}{2}\in [\frac{3\pi}{4},\frac{\pi}{2}]\\ \\ \Rightarrow \sin(\frac{x}{2}) > 0 \Rightarrow \sin(\frac{x}{2}) = \sqrt{\dfrac{1-(-\frac{3}{5})}{2}} \Rightarrow \sin(\frac{x}{2}) = \sqrt{\dfrac{8}{10}}=\dfrac{2\sqrt 2}{\sqrt{10}} = \\ \\ =\dfrac{2\sqrt 5}{5}

You might be interested in
75% as a fraction in simplest form
shepuryov [24]

Answer:

3/4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
owenn goes on a camping trip with his family cabin rentals are $430 for the week, kayak rentals are $7 per hour and paddle board
Hatshy [7]

Answer:

430 + 16h

Step-by-step explanation:

They are staying for a week ($430)

They are renting both a kayak ($7 per hour) and paddle board ($9 per hour), without defining the amount of hours. Create a variable, for example H for hours.

To create the expression, take the $430, the $7 per hour and $9 per hour, or 430 + 16h.

5 0
3 years ago
Expand each expression and collect like terms -3(2p-3q)
sertanlavr [38]

Answer

(-3 * 2p) - (-3 * 3q)

Step-by-step explanation:

I dunno how to explain it but that's it

7 0
2 years ago
Someone help please.
AnnyKZ [126]

Answer:

Translation (the +5)

Dilation (the x 4)

Compression (the 3 to 1/3, and the x to 2-x)

Step-by-step explanation:

Brainliest, please!

5 0
3 years ago
Which statement best describes the effect of the confounding variable?
DiKsa [7]

Answer:

D

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Is the expression 5 (3m+2p) -4m equivalent to the expression 13p+11m-3p?
    13·2 answers
  • According to the Complex Conjugate Root Theorem, if a+bi is a root of a quadratic equation, then __blank__ is also a root of the
    12·1 answer
  • Make a function table for each situation. The find the domain and range.
    11·1 answer
  • Determine which of these relations are transitive. The variables x, y, x', y represent integers A.x~y if and only if x +y is pos
    14·1 answer
  • In a game of checkers, there are 12 red game pieces and 12 black pieces. What is the probability that the first two checkers he
    12·1 answer
  • A window washing company charges $550 to clean 20 windows and $775 to clean 35
    6·1 answer
  • Graph the line with slope - 2 passing through the point (-1,2).
    5·1 answer
  • 40 points please help im confused
    5·1 answer
  • I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE!!! <br> hurryy
    10·1 answer
  • The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!