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) =
and Cosecant - The Quotient Rule
The six functions are sine (sin) cosine (cos)
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).
All Students Take Calculus. Meaning: All trig functions (sin cos
Angles and Radians of a Unit. Circle. Positive: sin csc. Negative: cos
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. = −. −
These six functions and their abbreviations are sine (sin) cosine (cos)
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.
)(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.
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.
and Cosecant - The Quotient Rule
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.
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.
cos(q) = adjacent hypotenuse tan(q) = opposite adjacent cot(q) = adjacent opposite sec(q) = hypotenuse adjacent csc(q) = hypotenuse opposite tan(q) = sin(q).
sint = 1 csc t cost = 1 sec t tant = 1 cot t. = sin t cos t csct = 1 sin t sect = 1 cos t cott = 1 tan t. = cos t sin t . Table 6.1: Reciprocal and Quotient
The six functions are sine (sin) cosine (cos)
Table of Trigonometric Functions degree radian sin cos tan cot sec csc. 0. 0. 0. 1. 0 undefined. 1 undefined. 30 ?. 6. 1. 2. 3. 2. 3. 3. 3. 2 3. 3. 2. 45 ?.
of trig functions first. (See back cover of your book) sin ? = b/r cos ? = a/r tan ? = b/a a?0 csc ? = r/b
tan 45 1 Negative: cos tan