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Alex73 [517]
3 years ago
15

How many solutions does tan^-1 3 have in interval [0, 2 π)

Mathematics
1 answer:
zhuklara [117]3 years ago
6 0
\bf tan^{-1}(3)\iff tan^{-1}\left( \frac{\pm 3}{\pm 1} \right)=\theta
\\\\\\
thus\qquad tan(\theta)=\cfrac{\pm 3}{\pm 1}\cfrac{\leftarrow opposite=y}{\leftarrow adjacent=x}

now, the angle of θ, can only have a "y" value that is positive on, well, y is positive at 1st and 2nd quadrants

and "x" is positive only in 1st and 4th quadrants

now, that angle θ, can only have those two fellows, "y" and "x" to be positive, only in the 1st quadrant, and also both to be negative on the 3rd quadrant.

and that those two fellows, can also be both negative in the 3rd quadrant
3/1 = 3, and -3/-1 = 3

so, the solutions can only be "3", when both "y" and "x" are the same sign, and that only occurs on the 1st and 3rd quadrants
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Alexis sold boxes of homemade granola bars for $8.50 each. It cost her $2.25 to bake and package each box of granola bars. What
scZoUnD [109]

Answer: 6.25 is her profit

Step-by-step explanation: cost-price= protect

2.25 - 8.50=6.25

4 0
3 years ago
What statements are true about the ordered pair (7,19) and the system of equations?
Tju [1.3M]

Answer:C


Step-by-step explanation:


3 0
3 years ago
A man divided $9,000 among his wife, son, and daughter. The wife received twice as much as the daughter, and the son received $1
monitta

Answer:

Q1:

Share of the daughter (x):

2x + x + x + $1,000 = $9,000

4x = $8,000

x = $2,000

Share of the wife:

= 2($2,000)

=  $4,000

Share of the son:

= $2,000 + $1,000

= $3,000

Answer: wife, $4,000; son, $3,000; daughter, $2,000

Q2:

= 1/2x + $1,000

Answer: 1/2x + $1,000: expression for share of the son

Proof (the wife shares $4,000):

Share of wife (x):

x + 1/2x + 1/2x + $1,000 = $9,000

2x = $8,000

x = $4,000

Step-by-step explanation:

hope it helps!

6 0
3 years ago
Select any solutions that have the same solution set as: 2x+3=13-5x
Alex_Xolod [135]
C is one of the answers
6 0
3 years ago
Read 2 more answers
Which answer is equal to (f - g) (-5)
Marina CMI [18]
<span>f(5)= 2+5 = 7
</span><span>g(5)= 5^2+5 = 25 +5 = 30

</span><span>(f - g) (-5) = 7 - 30 = -23

answer is </span><span>D.-23</span>
6 0
3 years ago
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