Search results
By the time you have worked through this workbook you should • be familiar with the trigonometric functions sin, cos, tan, sec, csc and cot, and with the relationships between them, • know the identities associated with sin2 θ +cos2 θ =1, • know the expressions for sin, cos, tan of sums and differences of angles,
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
2 dni temu · Reciprocal Identities: These identities define the relationships between each trigonometric function and its reciprocal. cscθ = 1/sinθ. secθ = 1/cosθ. cotθ = 1/tanθ. Quotient Identities: These identities show that tangent and cotangent are ratios of sine and cosine. tanθ = sinθ/cosθ. cotθ = cosθ/sinθ.
Trig Identities worksheet 3.4 name: Prove each identity: secx tanxsinx 1. − =. secx. 2. 1 + cosx = cscx + cotx sinx. 3. secθ sinθ = sin2 θ tanθ + cotθ. 4. secθ − tanθ = 1 cosθ cotθ. 5. cos2 y − sin2 y = 1 − 2sin2 y.
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.
Microsoft Word - trigonometric_identities_with_solutions.doc Author: TrifonMadas Created Date: 6/3/2015 4:57:53 PM ...
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.
