Trig identities sin and cos
[DOC File]Chapter 1: Trigonometric Functions
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Sin θ/cos θ = tan θ not for 90° & 270° or multiples. Cos θ/sin θ = cot θ not for 0°, 180° & 360° or multiples Reciprocal Identities (Important in Calculus) These come from the definitions and they are just the pairings that relate to being the reciprocal of the given trig f(n) – sin θ, cos θ or tan θ.
[DOC File]6.4 TRIGONOMETRIC ANGLES
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sin θ = 1 and cos θ = 2! The denominators canceled! You need to use Pythagorean ID’s! Example: Use trig identities to verify the following identities. Watch for common mistakes: Never drop variables! I.e. cos is not the same as cos θ! COMPLEMENTARY: Two angles are complementary if their sum is or 90º. Example: Find the complement of ...
[DOC File]TRIGONOMETRY
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Assignment # 9 ( Trig Identities (2) (12) Assignment # 10 Problems ( 1 – 9 ) ( Solving Trig Equations (13) Assignment # 10 Problems ( 10 – 18 ) ( Solving Trig Equations (14) Assignment # 11 ( Review Worksheet – Solving Trig Equations ... They are written as sin θ, cos θ, and tan θ ...
[DOC File]Trigonometric Identities and Equations: Unit Summary
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Trigonometric Identities and Equations: Unit Summary ... The sine and tan function are odd --> , The sin, cos, tan of any angles is equal to the sin, cos, tan of the related angle (a negative should be placed in front depending on the quadrant). Be able to use compound angle formulas to determine exact values of trig functions for angles not ...
[DOC File]Trigonometry
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From SOH CAH TOA, we get sin(30°)= = cos(60°) and cos(30°) = = sin(60°) The table now looks like. θ sin(θ) cos(θ) 0° 30° 45° 60° 90° and we note that because of the property of complementary angles discussed earlier, every time we determine 2 trig values, we effectively get 2 more free of charge.
[DOC File]ALGEBRA II/TRIG IDENTITIES
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Pythagorean Identities. Even/Odd Identities. sin (-x) = -sin x. tan(-x) = -tan x. cos (-x) = cos x. Cofunction Identities. Sum and Difference Identities. Double Angle Identities. Angle Between Two Lines. for, the acute angle . between two lines. Title: ALGEBRA II/TRIG IDENTITIES Author: bdickinson-ross Created Date: 4/5/2007 3:54:00 PM Company ...
[DOC File]Advanced Functions 12 | @ Wiz Kidz
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Prove: (sin 2x / sinx) – (cos 2x/cosx) = secx. Equivalent Trig Identities. Double Angle Formulas. Compound Angle Formulas. 6 [Type a quote from the document or the summary of an interesting point. You can position the text box anywhere in the document. Use the Text Box Tools tab to change the formatting of the pull quote text box.]
[DOC File]6.2 TRIG FUNCTIONS -- UNIT CIRCLE
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| sin t | < 1; | cos t | < 1; | sec t | > 1; | csc t | > 1. RECIPROCAL identities: sec t = 1 / cos t csc t = 1 / sin t cot t = 1 / tan t. Periodic Functions: A function if said to be periodic if . for all θ in the domain of f. The smallest number p for which f is periodic is called the . period. of f. Period of trig …
[DOC File]Basic Trigonometric Identities
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Fundamental Identities. cos2 ( + sin2 ( = 1. 1 + tan2 ( = sec2 (1 + cot2 ( = csc2 (sin ( = − sin(−() csc ( = − csc(−() cos ( = cos(−() sec ( = sec(−()
[DOC File]Pre-Calculus/Trig3
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5.1 Trigonometric Identities Block Date There are three main types of trigonometric identities. , , Type I: Reciprocal Identities . Sin = Csc = Cos = Sec = Tan = Cot = Type II: Quotient Identities . Given Rewrite with . opp, adj, and hyp Simplify fraction Rewrite as . one trig function Tan = Cot =
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