Right Triangle Trig
One degree is 1/______ of a circle
360
What is the angle of depression?
The angle of the triangle that is on a decline from the corner.
Which way around a circle do negative and positive angles go?
Negative--- Clockwise
Positive--- Counter Clockwise
What is Sin t
y
What is an identity?
an equation that is true for all values for which the variables are defined
What is DMS form?
A degree expressed as minutes and seconds
What is the angle of elevation?
The angle of a triangle that is on an incline from the corner
What is standard position?
When the vertex is at the origin and the initial side is on the positive X-axis
What is Cos t
X
Tan t x Cos t
sin t/ cos t x cos t------ sin t
Name 3 of the 6 trig ratios
Sin x= opp/hyp, Csc x= hyp/opp, Cos x adj/hyp, Sec x= adj/hyp, Tan x= opp/adj, Cot x= adj/opp
What is the pythagorean theorem?
A2 + B2 = C2
Convert 75 degrees to radians
75/1 x pi/180= 75pi/ 180----- 5pi/180
What is tan t
y/x
Quotient Identity
Tan2t Cos2t + Cos2 t
Name 3 trig ratios for 20 degrees
Cos 20= .94
Tan 20= .36
Csc 20= 2.92
Sec 20= 1.06 Cot 20= 2.75
What is Cos 65 of a right triangle with another angle of 65. the hypotenuse is 8 and the adj and opposite are unknown.
multiply 8 to both sides
3.38= x
Convert pi/ 5 radians to degrees
pi/5 x 180/ pi= 180/5------ 36 degrees
What is Cot t
Cos t/sin t
If Sin t= .28 and Cos t = .96 find Csc and Sec
csc t= 1/ sin t 1/.28---- 3.57
Sec t= 1/ Cos t 1/ .96------ 1.04
What is the acronym for Sin Cos and Tan?
SOH CAH TOA
What is the Triangle Sum Theorem?
m< A+ m< B+ m< c= 180 degrees
What is the ARC length formula?
L= X pi r/ 180
What is CSC t
1/ Y
Sin 13pi/ 6
Sin (12pi/6 +pi/6)
Sin (2pi+ pi/6)
Sin pi/6 = 1/2