Question

Find the values of s in the interval [0,pi/2] that make the statements true.

1. sin s=0.75438373
2. cos s=0.74241049
3. cot s=5.6394377
Can you tell me how you solve these.

Answer 1

You need either a calculator or a table of trig functions.
If you have a calculator, most have inverse trig functions, the yellow key and sin gives you the angle. The mode of the calculator can be set to work in degrees or radians.
for example
sin s=0.75438373
My TI-83 is in degree mode at present
yellow key sin
type
0.75438373
enter
48.97 degrees
to get radians without changing mode, now multiply that by pi/180
.8547147971 radians
by the way pi on this calculator is yellow key up arrow

Answer 2

i don't see those keys on my scientific calculator. can you tell me what would be the answer for the other two.
thnks alot

Answer 3

Look, you need a calculator. Here is one.
For example for the angle whose sin is .75
type asin(.75) and click on the equal sign.
http://www.mathsisfun.com/scientific-calculator.html

Answer 4

Oh, by the way, asin is built in as a key so you can copy in your number and hit asin =
You can set the mode to radians or degrees on the upper right

Answer 5

However, I just bet your scientific calculator has arc sin (asin , sin^-1) and arc cos (acos, cos^-1) and arc tan
functions.
Get the manual out.