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Trig Section 3.1: Trigonometric Identities MULTIPLE CHOICE. Use the fundamental identities and appropriate algebraic operations to simplify the expression. 1) cos x (csc x - sec x) - cot x 1) A) - 1 B) 1 C) 0 D) cos 2 x - tan 2 x 2) sin 2 x(cot 2 x + 1) 2) x + 1 tan x 3) cos x 1 + sin x + tan x 3) cos x + sin x sin 2 x sec 4) 1 + tan 2 x
• know how to differentiate all the trigonometric functions, • know expressions for sin2θ, cos2θ, tan2θ and use them in simplifying trigonometric functions, • know how to reduce expressions involving powers and products of trigonometric func-tions to simple forms which can be integrated.
Identifying non-permissible values then Proving an Identity. A trigonometric expression, like an algebraic expression, cannot have a zero in the denominator. Example 1: a) Determine the non-permissible values in degrees for the equation tan cos sin . 45 is a solution of the equation.
Trigonometric Identities. In this unit we are going to look at trigonometric identities and how to use them to solve trigonometric equations. In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature.
Microsoft Word - trigonometric_identities_with_solutions.doc Author: TrifonMadas Created Date: 6/3/2015 4:57:53 PM ...
Fundamental trig identity. cos(. (cos x)2 + (sin x)2 = 1. 1 + (tan x)2 = (sec x)2 (cot x)2 + 1 = (cosec x)2.
Prove each identity: 1. 3. 5. 7. . 1 secx-tonxslnx= - sec X seellsinll tane + cote sin'lI cos , y - Sin ., Y = 12·' - Sin Y sec'O --esc' 0 sec' 11 -1 Identities worksheet 3.4 name: 2. 4. 1·,· eosx sinx esex + cot x seeO tanll_--- --1 cosO cotO 6. ese'Otan' II -1 = tan' II 8. tan' x sin' x = tan' x - sin' x
