Yeah so I'm diggin' this trigonometry stuff. I think I really am picking up this stuff a lot better than the stuff we were learning the first quarter. One thing this week that I learned was Right Triangles. When I saw this I was surprised that I already knew how to do it. I learned it in Geometry last year. I even remembered SOHCAHTOA
Notes:
hypotenuse opposite right angle
A=1/2bh
SOHCAHTOA
A right triangle has an angle of 32 degrees. The adjacent leg is 5. Find the hypotenuse.
Answer=cos32=5/x
xcos32=5
x=5/cos5 or 5/5.896
The only thing that I'm still having trouble with is the word problems with the arc length and the planets and stuff.
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ReplyDeleteSector of a Circle (word problems):
ReplyDelete1. s = rθ
2. k = θ/2 r^2
(**Note: r = radius, θ = angle, s= arc length, & k = area of sector)
Example:
Find the length of the arc of a circle with radius 4 cm and central angle 5.1 radians.
s = rθ
= 4 × 5.1
= 20.4 cm
The only thing that is different for word problems is that you have to decipher various names for the same meaning.
ReplyDeleteIn other words you have to know what other words will appear in a word problem that will mean radius, area, arc length, and angle.
I cant give you all thr words that will appear but some of them include
distance- radius
diameter- radius
apparent size- Theta
for the word problem you just have to use common sense and context clues to help you decipher how to set up the problem.
dont forget to draw your picture