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Charra [1.4K]
3 years ago
10

Let f(x)=cos(arctanx). What is the range of f?

Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0
-π/2 < arctan(x) < π/2

So cos(π/2) < cos(arctan(x)) < cos(0)

0 < cos(arctan(x)) < 1
You might be interested in
At the confession stand, medium sodas cost $1.25 and hot dogs cost $2.50. How many medium sodas can you buy with $20? Make a tab
Tju [1.3M]

Answer: 16 sodas

Step-by-step explanation:

2 sodas | $2.50

4 sodas | $5.00

6 sodas | $7.50

8 sodas | $10.00

10 sodas | $12.50

12 sodas | $15.00

14 sodas | $17.50

16 sodas | $20.00

7 0
3 years ago
raj and his sister zia are both at secondary school. Raj is three years older than zia. the sum of the squares of their ages is
Cerrena [4.2K]

Let Zia's age be = x years

Raj is three years older than Zia, so Raj's age = x+3 years

As the sum of the squares of their ages is 369, so

x^{2}+(x+3)^{2}=369

x^{2}+x^{2}+6x+9=369

2x^{2}+6x+9=369

2x^{2}+6x-360=0

Factoring 2 out we have,

x^{2}+3x-180=0

Now solving this equation,

x^{2}+15x-12x-180=0

x(x+15)-12(x+15)

(x+15)(x-12)

x=-15 and x=12

Neglect the negative value as x cannot be negative

So x=12

Hence, Zia's age is 12 years and

Raj's age is 12+3 = 15 years


4 0
2 years ago
To find the distance d from a house in Miami Beach to a house on the Star Island, Mr. Marrero measures from the house on shore t
Mama L [17]

Answer:

d= 36.016m

Step-by-step explanation:

We have given angle B, the adjacent side, and we need the opposite side, we can use Tan to find d using angle B and the adjacent side.

Tan(42)=d/40

We multiply both sides with 40:

(40)Tan(42)=d

Use a calculator to find the final solution:

40(0.9004)=d

36.016=d

Note: 0.9004 is the solution to tan(42)

3 0
2 years ago
Odd numbers greater than 4 written in roster notation
klemol [59]

Answer:

Step-by-step explanation:

{5,7,9,11,13,15,17,19,21}

It goes on infinitely unless I did this wrong, if I did sorry:c

6 0
3 years ago
A cereal box has dimensions of 10 1/2 in. by 7 1/2 in. by 2 1/2 in. What is the volume of the cereal box? is it A:19 1/2in  B:27
Dima020 [189]
The answer is C, because 10.5(10 1/2) x 7.5 (7 1/2) x 2.5 (2 1/2)= 196.875= 196 7/8 
5 0
3 years ago
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