Trigonometric Identities sin(q) = opposite hypotenuse cos(q PDF

Trig Cheat Sheet

cos(−θ) = cos(θ) sec(−θ) = sec(θ) tan(−θ) = −tan(θ) cot(−θ) = −cot(θ). Periodic Formulas. If n is an integer then sin(θ + 2πn) = sin(θ) csc(θ + 2πn) =

Tangent Cotangent

and Cosecant - The Quotient Rule

Trigonometry

The six functions are sine (sin) cosine (cos)

TRIGONOMETRY

tan(-x) = - tan(x) cot(-x) = - cot(x). PYTHAGOREAN IDENTITIES cos2(x) + sin2(x)=1 cos(y) - sin(x) sin(y) tan(x) + tan(y) tan(x + y) = 1 - tan(x) tan(y).

Trig functions

All Students Take Calculus. Meaning: All trig functions (sin cos

Untitled

Angles and Radians of a Unit. Circle. Positive: sin csc. Negative: cos

Review Exercise Set 9

Exercise 1: Verify the given identity. (. ) 2 tan cot tan sec x x x x. +. = Distribute the tan x on the left side of the sin cos sin cos x x x x x x. = −. −

Trigonometric Functions: The Unit Circle

These six functions and their abbreviations are sine (sin) cosine (cos)

degree radian sin cos tan cot sec csc 0 30 45 60 90 120 135 150

degree radian sin cos tan cot sec csc. 0. 0. 0. 1. 0 undefined. 1 undefined. 30 π. 6. 1. 2. 3. 2. 3. 3. 3. 2 3. 3. 2. 45 π. 4. 2. 2. 2. 2. 1. 1. 2. 2. 60 π. 3.

12-trigonometric-identities.pdf

)(cot. )2cos(. 1. )2cos(. 1. )(tan. )2cos(. 1. 2. )(sec. 2. )2cos(. 1. )(cos. )2cos(. 1. 2. )(csc sec(tan. 1. ))( cos(sin. 1. ))( sin(cos. 2. 2. 1. 2. 1. 2. 1.

Trig Cheat Sheet ( ) ( ) ( ) ( ) ( ) ( ) ( )x y

tan adjacent ? = adjacent cot opposite ? = Unit circle definition. For this definition ? is any angle. sin. 1 y y ? = = 1 csc y ? = cos. 1 x x ? = = 1 sec.

Tangent Cotangent

and Cosecant - The Quotient Rule

Trig Cheat Sheet ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )x y

tan adjacent ? = adjacent cot opposite ? = Unit circle definition. For this definition ? is any angle. sin. 1 y y ? = = 1 csc y ? = cos. 1 x x ? = = 1 sec.

cos sin 1 1 tan sec x x x x + = + = 1 tan sec cot 1 csc x x x x + + =

09-Jan-2012 csc sec cot ? ? ? sin cos tan cot cos sin ? ? ? ? ? ?. = = III. Pythagorean Identities. A. Since the sine and cosine of an angle make up.