Download Special Right Triangle: 30-60

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Euler angles wikipedia , lookup

Reuleaux triangle wikipedia , lookup

History of trigonometry wikipedia , lookup

Rational trigonometry wikipedia , lookup

Euclidean geometry wikipedia , lookup

Pythagorean theorem wikipedia , lookup

Integer triangle wikipedia , lookup

Trigonometric functions wikipedia , lookup

Transcript
Special Right Triangles and using the calculator to get values First, Special Right Triangle:
45-45
It is an Isosceles triangle, so the
base angles must be congruent and
the sides opposite the base angles
must be congruent.
Let’s get the 6 TRIG values for a 45
degree angle.
First, Special Right Triangle:
45-45
First, Special Right Triangle:
45-45
First, Special Right
Triangle:
You can think of it in
terms of RADIANS,
too.
Special Right Triangle:
30-60
Not drawn to scale.
Let’s get the 6 TRIG values for a 60
degree angle.
Special Right Triangle:
30-60
Not drawn to scale.
First, Special Right Triangle:
30-60
Not drawn to scale.
Now, let’s get the 6 TRIG values for
a 30 degree angle.
First, Special Right Triangle:
30-60
Not drawn to scale.
Let’s get the 6 TRIG values for a 30
degree angle.
First, Special Right
Triangle:
Now, in terms of RADIANS.
Not drawn to scale.
First, Special Right
Triangle:
Now, in terms of RADIANS.
Not drawn to scale.
Using the calculator to find 1) Trig Ratios
and 2) Angles
1. Make sure you are in the proper mode: Degree or Radian
Now, change your calculator back and
forth between the two modes.
Make sure you are in Degree
mode!!
Using the calculator to find 1) Trig Ratios
and 2) Angles
Make sure you are in Degree
mode!!
⎛ 25 ⎞ ⎛ 18 ⎞

tan 75 25 18 = 75 + ⎜ ⎟ + ⎜
≈
75.4217
⎝ 60 ⎠ ⎝ 3600 ⎟⎠

'
''
Using the calculator to find 1) Trig Ratios
and 2) Angles
Make sure you are in RADIAN
mode!!
π
cot =
8
1
⎛π⎞
tan ⎜ ⎟
⎝ 8⎠
There aren’t SECANT,
COSECANT,and
COTANGENT buttons on the
calculator.
How TRIG functions work ……………..
If you know the ratio of the sides
and want the angle then you use
the INVERSE TRIG FUNCTION
How INVERSE TRIG functions work ……………..
Let’s look at a few other trig and inverse
trig functions
In RADIANS