A) Equalities involving trigonometric functions that are true for every value of the occurring variables for which both sides are defined.
B) Formulas that only apply to angles in the first quadrant.
C) Calculations used exclusively for finding the area of a circle.
D) Equations that define the side lengths of a right triangle.

A) Trigonometric identities involve functions of angles, whereas triangle identities may involve side lengths or other lengths.
B) Triangle identities are only used in Euclidean space.
C) Trigonometric identities are always more complex than triangle identities.
D) There is no difference; the terms are used interchangeably.

A) Simplifying algebraic polynomials without variables.
B) The integration of non-trigonometric functions via substitution.
C) Calculating the volume of non-Euclidean spheres.
D) Determining the probability of geometric intersections.

A) sin² θ + cos² θ = 1
B) sin θ + cos θ = 1
C) sin² θ - cos² θ = 1
D) sin² θ + cos² θ = 0

A) x² - y² = 1
B) x² + y² = 1
C) x + y = 1
D) x² + y² = 0

A) 1 + cot² θ = csc² θ
B) sin² θ + cos² θ = tan² θ
C) sec² θ + csc² θ = 1
D) 1 + tan² θ = sec² θ

A) csc² θ + sec² θ = 1
B) sin² θ + cos² θ = cot² θ
C) 1 + tan² θ = sec² θ
D) 1 + cot² θ = csc² θ

A) θ' = α - θ
B) θ' = 2α - θ
C) θ' = α + θ
D) θ' = 2θ - α

A) 4π
B) 2π
C) π
D) π/2

A) sec θ
B) tan θ
C) cos θ
D) csc θ