Download Trigonometric Ratios in a Right Triangle

August 25, 2014
Round to 3 decimal places
Jan 25­9:47 AM
5­2: Trigonometric Ratios in a Right Triangle
opposite
se
nu
te
po
hy
• Trigonometry is all about comparing the lengths of two sides of a triangle. • When you compare two numbers, that is a ratio.
adjacent
θ
Hypotenuse ­ side opposite the right angle
Opposite ­ leg opposite the reference angle
Adjacent ­ leg next to the reference angle
Aug 26­12:14 PM
1
August 25, 2014
The 6 Trigonmetric Ratios!
Cosecant
sinθ = opp/hyp cscθ = 1/sin θ = hyp/opp
Cosine
opposite
Sine
e
us
en
Reciprocal Trigonometric Functions
(these are just flipped)
t
po
hy
Trigonometric Functions adjacent
θ
Secant
cosθ = adj/hyp secθ = 1/cosθ = hyp/adj Tangent
Cotangent
tanθ = opp/adj cotθ = 1/tanθ = adj/opp SOH­CAH­TOA
Aug 29­7:17 AM
Find the value of the requested function
Aug 21­2:36 PM
2
August 25, 2014
Find the values of the six trigonometric functions for angle A
C
8cm
B
A
15cm
Pythagorean Theorem
In a right triangle, the sum of the 2 legs squared is equal to the hypotenuse squared.
a2 + b2 = c2
Aug 29­7:23 AM
3