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
Mashcka [7]
3 years ago
12

Extended Ratios - Complete one of the two prob

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0

Answer:

6

Step-by-step explanation:

You might be interested in
HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270
BabaBlast [244]

Hi there! Use the following identities below to help with your problem.

\large \boxed{sin \theta = tan \theta cos \theta} \\  \large \boxed{tan^{2}  \theta + 1 =  {sec}^{2} \theta}

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

\large{ {4}^{2}  + 1 =  {sec}^{2} \theta } \\  \large{16 + 1 =  {sec}^{2} \theta } \\  \large{ {sec}^{2}  \theta = 17}

As we know, sec²θ = 1/cos²θ.

\large \boxed{sec \theta =   \frac{1}{cos \theta} } \\  \large \boxed{ {sec}^{2}  \theta =  \frac{1}{ {cos}^{2}  \theta} }

And thus,

\large{  {cos}^{2}  \theta =  \frac{1}{17}}   \\ \large{cos \theta =  \frac{ \sqrt{1} }{ \sqrt{17} } } \\  \large{cos \theta =  \frac{1}{ \sqrt{17} }  \longrightarrow  \frac{ \sqrt{17} }{17} }

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

\large{cos \theta =   \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta =  -  \frac{ \sqrt{17} }{17}}

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

\large{sin \theta = 4 \times ( -  \frac{ \sqrt{17} }{17}) } \\  \large{sin \theta =  -  \frac{4 \sqrt{17} }{17} }

Answer

  • sinθ = -4sqrt(17)/17 or A choice.
4 0
3 years ago
Mrs. Mathewson would like to serve her guests 3/16 of a quart of coke. If she has 7/8 of a quart of coke how many guests can she
timama [110]

Answer:

HAVE VERY MUCH FUN

Step-by-step explanation:

7 0
2 years ago
Omar can jog 3 2/5 miles in 2/3 of an hour. Find his average speed in miles per hour.
Fudgin [204]

Answer:

9.6miles per hour

Step-by-step explanation:

2/3=40min

32/5 /40=0.16

0.16miles per min

0.16*60=9.6

3 0
3 years ago
Read 2 more answers
If s waves travel at 5 km/s how long do they take to travel 100 km
bixtya [17]
20 seconds
i feel like that is right
5 0
3 years ago
Which of the following represents 32=8 x 4
cricket20 [7]
What is the context ? is it multiple choice ?
4 0
3 years ago
Read 2 more answers
Other questions:
  • Replace the a,b,c,and d with the digits 2,4,6,8 to form the greatest product.each digit can only be used once.explain your subst
    12·2 answers
  • E-Z View cable company charges a flat rate of $40 per month for service and $4.95 for each pay per view movie. View the Best cha
    6·1 answer
  • Jaquarius has a pair of limited edition Jordan tennis shoes that are 12 inches long each. What is the total length of both of hi
    5·1 answer
  • What is the equation of the graphed line written in
    7·2 answers
  • How do you solve for x
    15·1 answer
  • What are the lengths of the other two sides of the triangle?
    13·2 answers
  • Michael is headed to his aunt’s house. For the first 2 hours he drives at 55 mph. For next hour, he drives 70 mph. For the final
    10·2 answers
  • A net and four figures are shown:
    15·2 answers
  • Help asap thank you!
    15·1 answer
  • Please help me with this math problem!! Will give brainliest!! :) (Pictures below)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!