Download Algebra, Geo., Trig.

Algebra, Geometry and Trig.
Unit 1 – Physics Math
Vocabulary
Ratio
Pythagorean theorem
right angle triangle
vectors
sine
Complimentary angles
SOHCAHTOA
Hypotenuse
square root
3,4,5, Triangle
cosine
tangent
adjacent
opposite
Algebra, Geometry and Trig.
b
In an equation such as a  being able to solve for a, b, or c
c
correctly is extremely important.
d
 Example: solve for "d" in the equation v 
t
 Multiplying both sides by “t” gives us:
vt=d
or
d=vt
Algebra, Geometry &Trig.
 PYTHAGOREAN THEOREM
 In a right angled triangle: the square of the hypotenuse is equal
to the sum of the squares of the other two sides.
a 2 + b 2 = c2
 Example: A “3,4,5” triangle has a right angle in it.
 32 + 42 = 52
 9 + 16 = 25
If solving
for one side:
________
 c = √a2 + b2
c=5
Algebra, Geometry & Trigonometry
 Sine, Cosine, and Tangent
 The three Trig. functions of Sine, Cosine, and Tangent are very
important to the study of vectors in physics.
 All three functions are defined as ratios of lengths of sides in a
right triangle (a triangle with one angle being 90 degrees).
 The sum of the other two of the three angles present in the
right triangle add up to 90 degrees and are called
complementary angles.
Algebra, Geometry & Trigonometry
 SINE
 The Sine function is described as the ratio of the length of the
side opposite a defined angle (other than the 90 degree angle)
to the length of the hypotenuse.
 In equation form it is written as: sin Ө = opp/hyp
SOHCAHTOA
Algebra, Geometry & Trigonometry
 COSINE
 The Cosine function is described as the ratio of the length of
the side adjacent to a defined angle (other than the 90 degree
angle) to the length of the hypotenuse.
 In equation form it is written as: cos Ө = adj/hyp
SOHCAHTOA
Algebra, Geometry & Trigonometry
 TANGENT
 The Tangent function is described as the ratio of the length of
the opposite side to a defined angle (other than the 90 degree
angle) to the length of the side adjacent the defined angle.
 In equation form it is written as: tan Ө = opp/adj
SOHCAHTOA