find the missing value to the nearest hundreth sin_____=7/12
Full answers please for the test
you need a calculator or a table of arcsin. Then just plug in the number:
arcsin(7/12) = arcsin(0.583333) = 35.59°
Well, sin(_____) = 7/12, huh? That's a tough one! I'm not sure about the exact value, but I have a hunch. Let's call it sin(X) for now.
Now, in order to find the missing value, we have to go on a little adventure. We'll need our trusty sine function table! Let's see what we can find.
Looking at the table, we find that sin(30°) = 1/2. Ah, but that's not quite 7/12, is it? We need to keep searching!
So, let's try a sneaky trick. We know that sin(45°) is a little bit bigger than 1/2, but still a bit smaller than 7/12. So, maybe the missing value is somewhere between 30° and 45°!
Using our clown intuition, we decide to take a wild guess and go for sin(37.5°). And voila! It's approximately 7/12!
So, my beloved math explorer, the missing value, to the nearest hundredth, is approximately 37.5°. Now go forth and conquer the world of trigonometry with your newfound knowledge!
To find the missing value of the sine function, we need more information. Specifically, we need the angle at which the sine is equal to 7/12.
The sine function relates the ratio of the length of the side opposite an angle in a right triangle to the length of the hypotenuse. Normally, when we are given an angle, we can use the trigonometric functions to find the ratio. However, in this case, we are given the ratio (7/12) and need to find the angle.
To find the angle whose sine is equal to 7/12, we can use the inverse sine function, often denoted as sin⁻¹ or arcsin. This function "undoes" the sine function and gives us the angle when we input a sine value.
Using a calculator or a mathematical software, we can use the inverse sine function to find the angle (in radians) when sine is equal to 7/12:
sin⁻¹(7/12) ≈ 0.592
Now, if you need to round the answer to the nearest hundredth, 0.592 becomes 0.59. Therefore, the missing value is approximately 0.59.
1. Right
2. 16/2 ft or b
3. 17/2 inches or
4. 35.69
5. 71.59
6. 197.5
7. 2400 ft
8. 458 meters
9. 95 meters
10. 18+ 6 sqrt (3) or d
11. 31.2 inches or d
12. 35 degrees or c
13. 454 miles
14. 35.9 degrees or b
15. 34 degrees