Trigonometric Identities Cheat Sheet - Pre-calc

The Trigonometric Identities Cheat Sheet in Pre-calculus is a helpful resource that allows students to easily access various trigonometric identities and formulas. It assists students in simplifying trigonometric expressions, solving equations, and working with trigonometric functions.

The Trigonometric Identities Cheat Sheet for Pre-calculus is typically filed by the students themselves as a personal study resource.

FAQ

Q: What are trigonometric identities?
A: Trigonometric identities are equations involving trigonometric functions that are true for all values of the variables.

Q: What is the Pythagorean Identity?
A: The Pythagorean Identity is sin^2(x) + cos^2(x) = 1.

Q: What is the Reciprocal Identity?
A: The Reciprocal Identity is sin(x) = 1/csc(x), cos(x) = 1/sec(x), and tan(x) = 1/cot(x).

Q: What is the Quotient Identity?
A: The Quotient Identity is tan(x) = sin(x)/cos(x).

Q: What is the Co-Function Identity?
A: The Co-Function Identity is sin(π/2 - x) = cos(x), cos(π/2 - x) = sin(x), and tan(π/2 - x) = cot(x).

Q: What is the Even-Odd Identity?
A: The Even-Odd Identity is sin(-x) = -sin(x) and cos(-x) = cos(x).

Q: What is the Double Angle Identity?
A: The Double Angle Identity is sin(2x) = 2sin(x)cos(x), cos(2x) = cos^2(x) - sin^2(x), and tan(2x) = 2tan(x)/(1 - tan^2(x)).

Q: What is the Half Angle Identity?
A: The Half Angle Identity is sin(x/2) = ±sqrt((1 - cos(x))/2), cos(x/2) = ±sqrt((1 + cos(x))/2), and tan(x/2) = sin(x)/(1 + cos(x)).

Q: What is the Sum and Difference Identities?
A: The Sum and Difference Identities are sin(x ± y) = sin(x)cos(y) ± cos(x)sin(y), cos(x ± y) = cos(x)cos(y) ∓ sin(x)sin(y), and tan(x ± y) = (tan(x) ± tan(y))/(1 ∓ tan(x)tan(y)).

Q: What is the Product to Sum Identity?
A: The Product to Sum Identity is sin(x)sin(y) = (cos(x - y) - cos(x + y))/2 and cos(x)cos(y) = (cos(x - y) + cos(x + y))/2.