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
nordsb [41]
3 years ago
5

If sinθ = -1/2 and θ is in Quadrant III, then tanθ

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

let's recall that on the III Quadrant sine/y is negative and cosine/y is negative, now, the hypotenuse/radius is never negative, since it's just a radius unit.

\bf sin(\theta )=\cfrac{\stackrel{opposite}{-1}}{\stackrel{hypotenuse}{2}}\impliedby \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{2^2-(-1)^2}=a\implies \pm\sqrt{4-1}=a\implies \pm\sqrt{3}=a\implies \stackrel{\textit{III Quadrant}}{-\sqrt{3}=a} \\\\[-0.35em] ~\dotfill

\bf tan(\theta )=\cfrac{\stackrel{opposite}{-1}}{\stackrel{adjacent}{-\sqrt{3}}}\implies \stackrel{\textit{rationalizing the denominator}}{tan(\theta )=\cfrac{-1}{-\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}} }\implies tan(\theta )=\cfrac{\sqrt{3}}{3}

You might be interested in
I need the answer pleaseee​
Aleksandr [31]

Answer:

y= -3x + 150

Step-by-step explanation:

slope = -15/5

y-int = 150

7 0
3 years ago
If it were two hours later,it would be half as long until midnight as it would be if it were an hour later. what time is it now.
mafiozo [28]

Answer:

its 10 am I think

Step-by-step explanation:

it says 2 hours until midnight. 12 - 2 = 10

7 0
3 years ago
Read 2 more answers
95% of what number is 38
vlabodo [156]

Answer:

38 would be 95 percent of 40

6 0
2 years ago
Read 2 more answers
Please help immediately
Mila [183]
Add all of the scores together which gives you

550+-1500+-2200+400+-600+-300

= -3650

Hope this helps! (:
5 0
3 years ago
Read 2 more answers
-(6x+6)+2=-6x-3 please solve
makkiz [27]

Answer:

There is no solution.

Step-by-step explanation:

To solve, use the order of operations. Follow them until you solve for x or just numbers remain.

-(6x + 6) + 2 = -6x - 3

-6x - 6 + 2 = -6x - 3

-6x - 4 = -6x - 3

-4 = -3

The answer is no solution since this is a false statement.

3 0
3 years ago
Other questions:
  • Prime factors of 625
    10·1 answer
  • There are 13 apples in a basket 6 of these apples are green the rest of them are red
    10·1 answer
  • How do you figure out this word problem: Peter has 6 sweaters, 4 pairs of jeans and 3 pairs of shoes. How many outfits can Peter
    10·2 answers
  • If $1,000 is loaned for 5 months at 6 % annual rate, how much interest is earned?
    5·1 answer
  • Free brainliest and extra points here!!<br><br> Who's is your bias from EXO and ATEEZ?
    9·2 answers
  • Tabitha has a DVD rack which can hold 42 DVDS. She can fit 8 more DVDS on the rack before the rack is full. How many DVDS are on
    14·2 answers
  • Which best states George Washington’s connection to the 1787 Constitutional Convention? He was an honorary delegate because he h
    5·2 answers
  • What is the area of rectangle FGHI
    10·1 answer
  • What is the product of 241.82x3.1
    10·2 answers
  • Which represents the polynomial written in standard form? 8x2y2 – StartFraction 3 x cubed y Over 2 EndFraction 4x4 – 7xy3 –7xy3
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!