All categories

3 years ago

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

2 answers:

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....

You might be interested in

If a plane can travel 450450 miles per hour with the wind and 410410 miles per hour against the wind, find the speed of the win

Artemon [7]

The plane speed in still air is the average of the two speeds: 430 miles/hour.
The wind speed is half the difference of the two speeds: 20 miles/hour.

8 0

3 years ago

-c: infinitely many solutions, Help solve plss

trapecia [35]

I think it’s b cos u minus 43 and your left with 48x and 47x so divide by 47 and you get 1 point something x = to x so yeah probably none because no number will make that work so it’s b

7 0

3 years ago

Admission to the fair costs $8.75. Each ride costs $0.50 to ride. You can spend at most $16. Write and solve an inequality to re

sergij07 [2.7K]

8.75 + 0.50 =9.25 dollars spend but she has 16 dollars so 16 - 9.25 = 6.75 dollars left

5 0

3 years ago

Need help ASAP! (Geometry 1)

melisa1 [442]

Answer:

The Length of third side is 52 units.

Step-by-step explanation:

Given:

Length of First side = 48

Length of second side = 20

Also given the angle between them is 90°.

Hence we can say figure shown is a right angled triangle.

For finding the third side we can use Pythagoras theorem which states that;

"If a triangle is right angled then, the Square of the hypotenuse is equal to sum of the square of the other two sides."

$Third \ side ^2=First \ side^2+Second \ side^2$

Hence substituting the values we get;

$Third\ side^2= 48^2+20^2 = 2304+400 =2704$

Now taking Square root on both side we get;

$\sqrt{Third \ side^2} = \sqrt{2704}\\ Third \ side = 52 \ units$

Hence Length of Third side is 52 units.

3 0

4 years ago

There are 6 red marbles 4 blue marbles to yellow marbles. Sabrina picks 2 marbles without putting the first one back what is the

Yanka [14]

Answer:

P = 3/11

Step-by-step explanation:

There are:

6 red marbles

4 blue marbles

2 yellow marbles.

So there are a total of 12 marbles in the bag, such that each one has the same probability of being randomly picked.

We want to find the probability that the first pick is not yellow (so it can be either blue or red), and the second pick is a blue marble.

Now there are two cases.

The first marble is red and the second blue

the first marble is blue and the second blue

We need to find the probability in each case.

The probability that the first marble is red is equal to the quotient between the number of red marbles (6) and the total number of marbles (12)

p = 6/12

Now, for the second draw, we need a blue marble, the probability in this case is the quotient between the number of blue marbles (4) and the total number of marbles in the bag (now there are 11, because one is already taken)

q = 4/11

The joint probability is equal to the product of the individual probabilities, then:

P₁ = p*q = (6/12)*(4/11) = 2/11

And for the other case, we draw two blue marbles:

For the first draw, the probability is:

p = 4/12

And for the second draw, now there are 3 blue marbles and 11 total marbles, then the probability is:

q = 3/11

The joint probability is:

P₂ = (4/12)*(3/11) = 1/11

The total probability is then:

P = P₁ + P₂ = 2/11 + 1/11 = 3/11

4 0

3 years ago