Fill in the missing fraction. I need help on this, I'm very confused.
2 answers:
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Answer:
- sin = -√3/2
- cos = -1/2
- tan = √3
- sec = -2
- csc = (-2/3)√3
- cot = (√3)/3
Step-by-step explanation:
See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:
sin(4π/3) = -√3/2
cos(4π/3) = -1/2
tan(4π/3) = sin/cos = √3
sec(4π/3) = 1/cos = -2
csc(4π/3) = 1/sin = -(2√3)/3
cot(4π/3) = 1/tan = (√3)/3
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<em>Additional comment</em>
It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.
Okie dokie,
When converting a decimal, you use the place the decimal is in...
Let's review the places: tenths, hundredths, thousandths, etc.
You look at the last number to determine what place you're using!
-------------------
Now here's an example for the tenths place:
.5
it's in the tenths place, right? so put it over that number (with no decimal) over a 10.
(mobile) 5/10 or
Now, decide if you can simplify. You can! 5/10 simplifies down to 1/2.
is your answer!
--------
Example for the hundredths place:
.26
the last number is in the hundredths place, so put the number (without a decimal) over 100!
26/100 or
You can simplify this!
13/50 is your answer!
Calculators can also come in handy!
Good luck!
When converting a decimal, you use the place the decimal is in...
Let's review the places: tenths, hundredths, thousandths, etc.
You look at the last number to determine what place you're using!
-------------------
Now here's an example for the tenths place:
.5
it's in the tenths place, right? so put it over that number (with no decimal) over a 10.
(mobile) 5/10 or
Now, decide if you can simplify. You can! 5/10 simplifies down to 1/2.
--------
Example for the hundredths place:
.26
the last number is in the hundredths place, so put the number (without a decimal) over 100!
26/100 or
You can simplify this!
13/50 is your answer!
Calculators can also come in handy!
Good luck!