Trig Problem Areas Flashcards
What doesn’t touch X
Secant
Cosecant
What cannot have a domain of zero
Secant
Cosecant
What can’t have a domain of 0
Sec
Cos
What can never touch the x-axis
Sec
Cos
What is the amplitude from -3 to positive 3
3
What is the period of sin
Same as cosine a period of 2 pi
What has a period of 2pi
Both cosine and sine
What’s the period of cos
2π
Give me two relevant things that equal 1
Unit Circle is x² + y² = 1
Sin²+Cos² = 1
Sec²(x) =
1+tan²(x)
1+tan²(x) =
Sec²(x)
What is the sine of 90 degrees?
1
What is the cosine of 0 degrees?
1
True or False: The tangent of 45 degrees is equal to 1.
True
Fill in the blank: The Pythagorean identity states that sin²(θ) + cos²(θ) = ____.
1
What is the formula for the sine of a sum of angles?
sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
What is the formula for the cosine of a difference of angles?
cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
What is the value of sin(30 degrees)?
1/2
Multiple Choice: What is the value of cos(60 degrees)? A) 0 B) 1/2 C) 1 D) √2/2
B) 1/2
What is the double angle formula for sine?
sin(2θ) = 2sin(θ)cos(θ)
Fill in the blank: The tangent of an angle is defined as the ratio of ____ to ____.
sine to cosine
What is the cotangent of an angle?
1/tan(θ) or cos(θ)/sin(θ)
True or False: The sine function is an odd function.
True
What is the value of tan(30 degrees)?
√3/3
What does the acronym SOHCAHTOA represent?
Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent
What is the formula for the sine of a difference of angles?
sin(A - B) = sin(A)cos(B) - cos(A)sin(B)
