Chapter 5 Flashcards
sinθ
Opposite/Hypotenuse
Cosθ
Adjacent/hypotenuse
Tanθ
Opposite/Adjacent
Cscθ
Hypotenuse/opposite
Secθ
Hypotenuse/Adjacent
Cotθ
Adjacent/Opposite
What is the inverse of cscθ?
1/sinθ
What is the inverse of tanθ?
1/cotθ
What is the inverse of secθ?
1/cosθ
What is the formula for tanθ?
Sinθ/Cosθ
What is the formula for Cotθ?
Cosθ/Sinθ
What is the formula for Secθ?
1/Cosθ
What is the formula for Cscθ?
1/Sinθ
Fundamental formula
Sin²θ + Cos²θ=
1
Fundamental formula
1 + tan²θ=
Sec²
Fundamental formula
1 + cot²θ =
Csc²θ
Fundamental formula
Tanθ • Cotθ
1
What is the negative formula for sin(-t)?
-sin(t)
What is the negative formula for cos(-t)?
cos(t)
*stays positive
What is the negative formula for tan(-t)?
-tan(t)
What is the negative formula for csc(-t)?
-csc(t)
What is the negative formula for cot(-t)?
-cot(t)
What is the negative formula for sec(-t)?
sec(t)
*stays positive
The angle between terminal side and the x-axis is called the what?
Reference angle
In the first quadrant, what is the reference angle’s formula?
θR= θ
In the second quadrant (when 90 < θ < 180), what is the reference angle’s formula?
θR= 180-θ or pi-θ
In the third quadrant (when 180 < θ < 270), what is the reference angle’s formula?
θR= θ-180 or θ- pi
In the fourth quadrant (when 270 < θ < 360), what is the reference angle’s formula?
θR= 360-θ
