TrigonometricEquaffffesform

fan

one solution is

also x a tf 4

to If t I 7

X 75 4 75 351

251

X T II 3

x 5ft a 8Gt

solutionixIgth n o Il I3

If notonesolution n is an integergoeshere

Istnc f 7 3 5942,3

Trigonometric

Equationsofthe

forfogC

onesolution x

X I t2T

X 75 27X 2t n O Il I3

since cosCx _cos x cos is even

X IS is a solutionX Ig t2T I

X 27X Iz 21 751X t n o I1,12,13

ion X It5hh o I1 t2

TrigonometricEquations

ofthe

form

gin

x

X Ii 2T Ig t 9

X YIt4T If tt.by 1 I n n O I 12

re's sin tx

x 2T 341t

x t2T n o Il I2

s on f n o I 2

tryplugginginIo Ingo.tl lIyn 2 Cy If 2T

I In 2T 8 9n 4 x Cc4II 4IT

It t4a tGI 7n I X Ci If t l T

IgtT If 4Tj 3n 3 Cy 3IT

Ia 3T Fitn

Equation gHn fonsw a near

Recalla 2sin x l o sin

t l t l

2sin IIE H

at'sE sinG LEn Fd.io

x cj.ItT.nIn o ti I2,13

Sinixt ccos L

SecG tan x C

cost.co y T2 cosG

I XI cos xFs2 cosCxcos IIOSA

cos'fE T cos ETi GI

sdutionix IIftf.nn gtht2 t3i.ITsinCx c

cot c

7 fate 3 0

3 3

tan Itan Iztank 7

3tariffs

s.IE Ii7 s.o n n oi i.tIextract give me one more solution

pick n 3 X 1.16590 t 3TXE8.2S888

Equations

with

trigonometric

functions

quadratic

a fancy2 t 2tan x t I o

ytc

let u tan xsubstitute

42 t 2a tl oSoliefor afat C OL d

uti o u ti ou i u Ita tank a 1onesolutiontaiCD tan i

EI.ttn n o

c2CcosCxD21 0

let u cosCxsubstitute

2 us I oax2tbtx.toI'I2 2

2us I2

EEEa IFL

cost fLcos I

coscxt tfg.FIcosCx

cos z Tos IIcosa coffey 1 cosEtty p Ia Ia _3

i iI