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3 years ago

Find the exact value expression. tan^-1 (0)

Mathematics

2 answers:

Klio2033 [76]3 years ago

7 0

Answer:

Hence, the exact value of the expression is:

Step-by-step explanation:

We are given a expression as:

tan^-1 (0).

We have to find the value of a angle such that it is obtained on taking inverse of tangent of 0.

Let us consider,

Θ=tan^-1(0)

on taking tangent function on both side of the equation we get:

tan(θ)=tan(tan^-1(0))

tan(θ)=0

tan(θ)=tan(0)

since,

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}$

Hence,

$\tan(0)=\dfrac{\sin 0}{\cos 0}\\\\\tan 0=\dfrac{0}{1}\\\\\tan 0=0$

Hence we get:

Θ=0.

Hence, the exact value of the expression is:

Nezavi [6.7K]3 years ago

3 0

Zero. The negative one means arctan. Arctan times 0 is 0.

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2 years ago

If 28% of a sum is $100.80, what is the sum?

DaniilM [7]

28% of x = 100.80
.28 × x = 100.80
.28x = 100.80
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Answer A

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2 years ago

X-4=4-x

Sidana [21]

Answer:

4 and any number other than 4

Step-by-step explanation:

The first answer is 8. Solve the equation for x.

x-4 = 4-x

To get rid of the x on the right side, you must add x to both sides

(x) + x - 4 = (x) + 4 - x

On the right side x-x=0 so now you are left with 4 on the right side

On the left side x+x=2x so you have 2x-4 on the left side.

Now add 4 to both sides to get rid of the 4 on the left side.

(4) + 2x - 4 = (4) + 4

On the left side, 4-4=0 so you are left with 2x.

On the right side 4+4=8

So now you have 2x = 8. To finish solving for x, you now need to divide both sides by 2.

2x 8

---- = -----

2 2

On the left, 2 divided by 2 equals 1 so you are left with x.

On the right, 8 divided by 2 equals 4.

So now you know what X must equal 4 to make the equation TRUE.

Any number other than 4 will make the equation false.

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2 years ago

Please help: If the area of a rectangular picture of a stamp is 81 times greater than the actual stamp's area, and the stamp has

ololo11 [35]

Answer:

12 inches.

Step-by-step explanation:

We know that the length of the stamp is 4/3 inches.

Let the width be x inches.

Then the area of the actual stamp is:

$\frac{4}{3}x\text{ inches}^2$

We know that the rectangular picture of the stamp is 81 times greater than the actual stamp’s area. Therefore, the area of the picture is 81 times the above. So:

$81(\frac{4}{3}x)\text{ inches}^2$

So, the area of the rectangular picture is the area of the actual stamp multiplied by a scale factor k.

When we use the scale factor to scale area, we need to square it. Hence, the area of the actual stamp times the scale factor squared is equal to the area of the rectangular picture. Therefore:

$\frac{4}{3}x(k^2)=81(\frac{4}{3}x)$

Let’s solve for the scale factor. Divide both sides by 4/3(x). Hence:

$k^2=81$

Take the square root of both sides:

$k=9$

So, the scale factor from the actual stamp to the picture is 9.

So, the actual stamp has a length of 4/3.

Then ThThe length of the stamp’s picture will be:

$\frac{4}{3}k$

Substitute 9 in for k to get:

$=\frac{4}{3}(9)=12$

So, the length of the stamp’s picture is 12 inches.

8 0

2 years ago

What is the sum of the exterior angles of a 27-gon?

algol [13]

Answer: 360

Step-by-step explanation: 360

The sum of the exterior angle measures of a convex polygon, one angle at each vertex, is 360. To find the sum of the measures of the exterior angles, one at each vertex, of a convex 27-gon. For any convex polygon, the sum of the measures of its exterior angles, one at each vertex, is 360

6 0

2 years ago

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