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
Andru [333]
2 years ago
7

Help again...its for math offering 15 points

Mathematics
1 answer:
Anettt [7]2 years ago
4 0

Answer:

\tan \dfrac{\theta}2 = \dfrac{1}2

Step by step Explanation:

\sin \theta = \dfrac{\text{Perpendicular} }{\text{Hypotenuse}} = \dfrac{12}{15}\\\\\\\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}= \dfrac{9}{15}\\\\\text{Now,}\\\\\tan \dfrac{\theta}2 = \dfrac{\sin \tfrac{\theta}2}{\cos \tfrac{\theta}2}\\\\\\~~~~~~~~=\dfrac{2\cos \tfrac{\theta}2 \sin \tfrac{\theta}2 }{2\cos^2 \tfrac{\theta}2}~~~~~~;\left[\text{Multiply by}~ 2\cos\tfrac{\theta}2 \right]

         =\dfrac{\sin \theta}{1+ \cos \theta}~~~~~~~~~~~~;[2 \sin x \cos x = \sin 2x ~ \text{and}~ 2\cos^2 x =1+\cos 2x]\\\\\\=\dfrac{\tfrac{12}{15}}{1+ \tfrac{9}{15}}\\\\\\=\dfrac{\tfrac{12}{15}}{\tfrac{24}{15}}\\\\\\=\dfrac{12}{15}\times \dfrac{15}{24}\\\\\\=\dfrac{12}{24}\\\\\\=\dfrac{1}2

You might be interested in
Please I need the correct answer.
Alenkasestr [34]
V1 is equal to V2

XOXO

======================
6 0
3 years ago
Find a difference 118.419 - 6.74​
nevsk [136]

Step-by-step explanation:

The difference between 118.419 and 6.74 is

= 111.679

Hope it helps

7 0
3 years ago
Help pleaseee. 20 points!
Alja [10]

Answer:

1. always true

2. always true

3. sometimes true

4. always true

5. never true

Step-by-step explanation:

6 0
3 years ago
Find the 7th term of the geometric sequence -5, 15, 45, 135, 405,...
katovenus [111]

Answer:

1,215

Step-by-step explanation:

Because if you think of it it multiplies by 3x so 3x5=? 15! 15x3=? 45! 45x3=? 405! 405x=3? 1,215! 1,215x3=? 3,645! anyways, I can go on and on I hope this answer was right!

7 0
3 years ago
Here is a system of equations:
laila [671]

Answer:

y = -10

Step-by-step explanation:

(-7x+3y) - (-7x +10y) =-65 -(-135)

-7x + 3y + 7x -10y = 70

-7y = 70

y = -10

7 0
3 years ago
Read 2 more answers
Other questions:
  • In a zoo there are 30 monkeys, some gorillas and chimpanzees. The ratio of monkeys to gorillas is 6 to 1. The ratio of monkeys t
    7·1 answer
  • A hill rises 80ft for every horizontal 220f. find the slope
    14·1 answer
  • Solve the equation, justify each step with an algebraic property. <br> -4+-17+x.
    10·1 answer
  • One-third the cube of y
    15·2 answers
  • I need help on problem 53
    5·1 answer
  • Which of the following events are disjoint? A) Choose a student at random from a statistics class. Event A is that the student i
    14·2 answers
  • HELP! I KEEP MY WORD AND WILL GIVE BRAINLIEST, 5-STARS, AND 'THANKS'!
    13·2 answers
  • I don’t want any links in here I just want you guys to answer it with shown work
    12·2 answers
  • An apartment building has a parking lot with 12 parking spaces for
    14·2 answers
  • Let [] denote the operation a [] b = a+b - <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bab%7D%7B2%7D" id="TexFormula1" title="\fr
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!