trigonometry identities worksheet pdf

Trigonometric Identities . Reciprocal . Fundamental Pythagorean . θ θ csc 1 sin = θ θ sin 1 csc = sin θ+cos2 θ=1. sec. cos 1 sec θ θ = θ. θ θ cos 1 sec = tan2 θ+1 = 2. θ. tan. 1 cot θ θ = θ θ tan 1 cot = 1+cot2 θ =csc. 2. sin(α±β)=sinα⋅cosβ±cosα⋅sin β Sum and Difference of Angles ⋅ ± ± = 2 cos 2 2sin α β α ...

Trigonometric Identities Worksheet Introduction to Identities 3 Ifsin, then csc ? 5 3 2.Ifcos , then sec ? 2 3. Iftan 2, then cot ? 4. Ifsec 1, then cos ? 34 5. If sin and cos , find tan 55 and cot . 3 6. If sin and terminates in quadrant II, find cos . 5 7. Write sec tan in terms of sin and cos and then simplify. 1 8.

Trig Identities Packet Name_________________________________________ Trig Identities Packet sin = csccsc = 1 sincos = 1 secsec = 1 cos tan = sin cos tan = 1 cotcot = cos sin cot = 1 tan cos2 + sin2=1 sin2=1− cos2cos2=1− sin2 1+ tan2=sec2tan2=sec2−1 − tan2=1− sec2 1+ cot2=csc2cot2=csc2−1 − cot2=1− csc2

• 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, •beabletosimplifyexpressionsandverifyidentitiesinvolvingthetrigonometricfunctions,

27 Triangle Trigonometry Concepts: Solving Trigonometric Equations Trigonometry for Acute and Obtuse Angles { The Law of Cosines (Sections 7.5 & 8.3) 1. Use factoring, substitution, identities, and/or the quadratic formula to solve. (a) 3sin2(x)+2sin(x) = 5 (b) tan(x)cos(x) = cos(x) (c) sin(2x)+cos(x) = 0 (d) sin (x 2) = 1 cos(x) 2.

Trig Prove each identity; 1 . 1 . secx - tanx SInX - - ­ secx 3. sec8sin8 tan8+ cot8 sin' 8 5 . cos ' Y -sin ., y = 12" - Sin Y 7. sec2 e --sec2 e-1 csc2 e Identities worksheet 3.4 name: 2. 1 + cos x = esc x + cot x sinx 4. sec8 tan8 1 -----= cos8 cot8 6. csc2 e tan2 e -1 = tan2 e 8. tan2 x sin' x = tan' x - sin' x . Tria Prove each identity: ...

Fundamental Trig Identities Name_____ Date_____ Period____-1-Use identities to find the value of each expression. 1) If sin ... Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.com. Title: document1

Trigonometric Basic Identities UVU Math Lab HINT: In many cases, we can use the Reciprocal Identitiesto rewrite expressions as functions of sine & cosine in order to more easily , simplify, solveor to reduce the amount of material to memorize(So, memorize the green information only.). Definition of Trigonometric Functions: 𝐭𝐭𝐭𝐭 SOH 𝐬𝐬𝐬𝐬𝐬𝐬 1 cot

This creates an equation that is a polynomial trig function. With these types of functions, we use algebraic techniques like factoring, the quadratic formula, and trigonometric identities to break the equation down to equations that are easier to work with. As a reminder, here are the trigonometric identities that we have learned so far:

Trigonometric Identities { Addition and Subtraction Identities { Cofunction Identities { Double-Angle Identities { Power-Reducing Identitites { Half-Angle Identities { Product-Sum Identities (Sections 7.2 & 7.3) 1. Find the exact values of the following functions using the addition and subtraction formulas (a) sin 9ˇ. 12 (b) cos 7ˇ.