a question just like this one was on one of my homeworks..i asked for help but i didn't understand the explanation..so i had to gues..nd now i have that kind of quesion again on my homework. pleease explain this thoroughly
find the value of s in the interval [0,pi/2] that makes the statement true
1. tan s= 6.86874202
thnks to whoever answers and explains it:)
you are told that
tan s = + 6.86874..
so by the CAST rule, the angle must be in the I or III quadrant.
but our domain is from 0 to pi/2 which is only quadrants I and II.
and since they are using radians to describe the domain, we should also answer in radians.
set your calculator to radians,
enter
inv tan or 2nd function tan
6.68742..
=
I got s = 1.42622 radians
ya see this somehow doesnt work on my calculator
[pi,3pi/2];tan s=1
so you have to enter inv tan 1??
confuusedd
let's try it with degrees first
set you calc to degrees
test #1
enter
tan
45
=
you should get 1
now work it backwards (the inverse)
at the top left you should have either an "INV" key or 2ndF key
enter:
2ndF
tan
1
=
you should get 45 degrees
If that doesn't work it could be that on your calc you have to enter the number first.
let me know if it worked.
If it worked, set your machine to radians and repeat the steps in the same way as noted above.
when i do tan 45 i get 1.6197..
do you know any site where i can use a calculator...
http://www.mathsisfun.com/scientific-calculator.html
thnks:)
y912f, you have your calculator set to radians
yes, tan 45 radians = 1.6197
look for a key that says DRG, it will toggle your setting beteen degrees, radians and gradians
ya Damon already helped me understand the problem
i set it to radians. entered 1, atan and it equaled .785
then entered +, pi= 3.926radians
in other words 5pi/4
thanks for all your help tooo!!!!
To find the value of s in the interval [0, π/2] that makes the statement tan s = 6.86874202 true, we need to solve for s.
First, let's understand what the tangent function represents. The tangent of an angle is defined as the ratio of the length of the side opposite the angle (in a right triangle) to the length of the adjacent side. In other words, tan s = opposite/adjacent.
In this case, we are given that tan s = 6.86874202. We want to find the value of s that satisfies this equation.
To solve for s, we can use the inverse tangent function, also known as the arctan or atan function. It allows us to find the angle given the tangent value.
So, we have arctan(6.86874202) = s.
Using a scientific calculator or a trigonometric table, we can find the inverse tangent value of 6.86874202.
For example, using a calculator:
- Press the "2nd" or "shift" button.
- Then press the "tan" or "tan^-1" button.
- Enter 6.86874202.
- Press the "=" or "enter" button.
The calculator will display the angle whose tangent is approximately 6.86874202. Let's say it is 80.125 degrees.
To convert this angle from degrees to radians (since the interval [0, π/2] is in radians), we multiply by π/180. So, 80.125 degrees ≈ (80.125 * π)/180 ≈ 1.398 radians.
Therefore, the value of s within the interval [0, π/2] that satisfies the equation tan s = 6.86874202 is approximately s = 1.398 radians.