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Rom4ik [11]
3 years ago
11

Can the sine or the cosine function ever equal 5? Why or why not?

Mathematics
2 answers:
vlabodo [156]3 years ago
8 0
Sin and cos functions can never be equal to 5. They can never be greater than 1! Both!

You can think of sin and cos functions as projections (that is how i do). Imagine xy coordinate system. Draw a circle which center (center of circle) is in center of xy coordinate system. Let radius of that circle be one (you can take one to be any length you want). 
Now, x - axis and any radius of that circle make an angle. 
NOW HERE IS IMPORTANT PART:
-projection of that radius on x-axis is cosine of the angle that radius and x-axis make.
-projection of that radius on y-axis is sinus of the angle that radius and x-axis make.

From that you can see that projections cannot ever be greater than 1.
jarptica [38.1K]3 years ago
8 0
No, they cant!!! They are anti- of each other. So, they will be equal to 1 only and not other than that....
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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B43%5D%7B5%7D%20" id="TexFormula1" title=" \sqrt[43]{5} " alt=" \sqrt[43]{5} " ali
FinnZ [79.3K]
8.6 because I did the work and I asked Siri
5 0
3 years ago
In a shipment of 58 vials, only 13 do not have hairline cracks. if you randomly select 4 vials from the shipment, what is the pr
PIT_PIT [208]
For this problem, we use the repeated trials equation:

P = n!/r!(n-r)!*p^(n-r)*q^r
where
P is the total probability of having r successful trials out of the total n trials. p is equal to 13/58, while q is equal to 1 - 13/58.

P = 4!/4!(4-4)!*(13/58)^(4-4)*(1 - 13/58)^4
P = 0.362 or 36.2%
5 0
4 years ago
What is (f−g)(x)? <br><br> f(x)=x^4−x^2+9 <br> g(x)=x^3+3x^2+12 <br><br> (f−g)(x)=
wlad13 [49]

Answer:

x^4 -x^3 -4x^2-3

Step-by-step explanation:

f(x)=x^4−x^2+9  

g(x)=x^3+3x^2+12

(f−g)(x)= x^4−x^2+9 - (x^3+3x^2+12)

 Distribute the minus sign

(f−g)(x)= x^4−x^2+9 - x^3-3x^2-12

I like to line them up vertically

x^4        −x^2+9

    - x^3 -3x^2-12

---------------------------

x^4 -x^3 -4x^2-3

7 0
4 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bs%2B24%7D%7B7%7D" id="TexFormula1" title="\frac{s+24}{7}" alt="\frac{s+24}{7}" align
qaws [65]

Step-by-step explanation:

S+24/7 = -2

7×{S +24/7} = -2×7

S+24 = -14

S+24-24 = -14-24

S = -38

7 0
4 years ago
A kite is 14 ft off the ground and a horizontal distnace of 29 feet awat from you what is the angle measure of x
soldier1979 [14.2K]

Answer:

28.9°

Step-by-step explanation:

This is a Trigonometry question

From the above, question,

The horizontal distance = Adjacent = 29 feet

The distance of the kite from the ground = Opposite= 14 feet

We solve using the Trigonometric function of Sine

sin θ = Opposite/Adjacent

sin θ = 14/29

θ = arc sin (14/29)

θ = 28.865727415°

Approximately = 28.9°

Therefore, the angle measure of x = 28.9°

3 0
3 years ago
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