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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
Advanced Math Trigonometric Identities [Day 1] HOMEWORK Use Trigonometric Identities to write each expression in terms of a single trigonometric identity or a constant. 1 .
Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.com
Trigonometric Equations 1. Find all values of x for which 2cos 3x 0, if 0qqd x 360. 2. Solve 2sin 3T 0, if . 3. Solve 2cos 9co2 tt s5, if 0d t 2S. 4. Solve 2sin 2s 1 02 TT in, if 0q d TS. 5. Solve cos2 3sin 2 0,TT if 0qqddT 360.
Trig Identities worksheet 3.4 name: Prove each identity: 1. secx−tanxsinx= 1 secx 2. 1+cosx sinx =cscx+cotx 3. secθsinθ tanθ+cotθ =sin2θ 4. secθ cosθ − tanθ cotθ =1 5. cos2y−sin2y=1−2sin2y 6. csc2θtan2θ−1=tan2θ 7. sec2θ sec2θ−1 =csc 2θ 8. tan2xsinx=tan2x−sin2x Trig Identities worksheet 3.4
Introduce the odd (sin, tan, cosec and cot) and even identities (cos and sec) with the help of the odd and even identities chart in these trigonometric identities PDFs for high school. Find the exact value of trigonometric functions as well.
Trigonometric Identities Worksheet. I. Prove each identity. 1) tanxcos x =sinx. x . ' tan x. 5) Slnx=- secx. II. Prove each identity. 1) esc x(l + sin x) == 1+ esc x. 3) coscx(secx-1)=1-cosx. 1- tan x. 5) =-tanx . 1- cotx . III. Prove each identity. 2 . sin x + 1. 1) sm x tan x + sec x ==--- cosx . ) 1+ si. 1- x esc x-I. l+sinx . .
21 Trigonometric Identities Worksheet. Concepts: Trigonometric Identities. { Reciprocal Identities. { Pythagorean Identities. { Periodicity Identities. { Negative Angle Identitites. (Sections 6.6 & 7.1) Find the period, phase shift, and sketch the graph of y = 2 csc(2x. Find all solutions to the equation tan( ) = cot( ) for 0 < <