All categories

3 years ago

Explain how to find the exact value of sin(570°).

2 answers:

7 0

Quick answer Sin(570) = - 1/2
Comment
570 as an angle contains 1 complete revolution of the terminal arm. The terminal arm begins at the origin and the other (in this case swings around until it records 570° turning around the x axis in an anticlockwise direction.

Anticlockwise means going from 12 o'clock to 9 o'clock to 6 o'clock then 3 o'clock and back to 12 o'clock.

What is 570° (∅) degrees equivalent to?
We keep on subtracting 360 until we get a number between 0 and 360 inclusive.

Written this way 0 ≤∅≤360
570 - 360 = 210°

So we need to find the equivalent of 210°

Method
210° = 180° + 30°
This means that ∅ is 30° below the x axis in the 3rd quadrant.

Sin(30) = 1/2
In the third quadrant, the sine is minus. so
sin(210°) = - 1/2 <<<<<<< Answer

nadezda [96]3 years ago

4 0

For e2020 users:

Find that the terminal side lands in quadrant III.

The angle is coterminal with a 210° angle.

The reference angle is 30°.

The sine of 30° is 1/2.

Sine is negative in quadrant III.

The sine of 570° is –1/2.

You might be interested in

Find a polynomial for the sum of the shaded areas of the figure. A = 6, B = 4

soldi70 [24.7K]

Answer:

The polynomial for the sum of the shaded $\pi$ r² - 20 $\pi$

Step-by-step explanation:

Given as :

The figure is shown which is of concentric circle with radius B , A , r

The radius B = 4 unit

The radius A = 6 unit

Let The sum of shaded portion = x unit

Now, The circumference of circle = 2 $\pi$ R , where R is the radius

So, for circle with radius B.

The circumference = 2 $\pi$ R = 2 $\pi$ B

Or, The circumference = 2 $\pi$ × 4 = 8 $\pi$

Similarly

For circle with radius A.

The circumference = 2 $\pi$ R = 2 $\pi$ A

Or, The circumference = 2 $\pi$ × 6 = 12 $\pi$

Now, The area of circle with radius r is

Area = $\pi$ ×radius × radius

Or, Area = $\pi$ r²

Now,

The sum of shaded region area = The area of circle with radius r - ( The circumference with radius B + The circumference with radius A )

Or, The sum of shaded region area = $\pi$ r² - ( 8 $\pi$ + 12 $\pi$ )

Or, The sum of shaded region area = $\pi$ r² - 20 $\pi$

Hence The polynomial for the sum of the shaded area is $\pi$ r² - 20 $\pi$ Answer

5 0

3 years ago

There is a proportional relationship between y and x. When x=2, y=-9.

suter [353]

They just told me to answer a bunch of questions sorry i dont know this best of luck tho !

8 0

3 years ago

Which is a perfect square 61 62 63 64

leva [86]

Answer:

64 is the perfect square

Step-by-step explanation:

its the perfect square because the square root is 8 and 8 is a whole number therefore 64 is the perfect square here.

plz vote me brainliest and give me a thanks

3 0

3 years ago

A bag contains 10 colored marbles - 4 red, 4 blue and 2 green.

alexira [117]

the probability would be 100% if your smart

Step-by-step explanation:

ok so think of this if you have 10 marbles but it never said anything about getting rid of marbles ,you can get rid of four marbles.

3 0

2 years ago

Read 2 more answers

Kyla is hiking. She comes to this marker at a fork in the trail. Which of these gives the same distance to Cascade Falls? A 0.35

bija089 [108]

Answer:

Option B

3.5 miles

Step-by-step explanation:

Considering the picture attached, the distance to Cascade Falls is written in mixed fraction and the question wants it expressed in decimal. $\frac {1}{2}$ is same as 1 divided by 2 which is 0.5 hence the fall is 3+0.5=3.5 miles

6 0

3 years ago