tgA + 2cosA cscA = secA cscA + ctgA (senA / cosA) + 2cosA (1/senA) = [sen2A + 2cos2A]/(senA cosA) =

(tgA + ctgA)(cosA + senA) = cscA + secA

[(senA / cosA) + (cosA / senA)]( cosA + senA) = [(sen2A + cos2A)/(senA cosA)](cosA + senA) =

[1/(senA cosA)](cosA + senA) = cosA / (senA cosA) + senA / (senAcosA) = 1/senA + 1/cosA =

cscA + secA

tg2A sen

2A = tg

2A sen

2A

(sen2A / cos2A sen2A) = sen2A [(1/cos2A) 1] = sen2A (1 cos2A)/cos2A =

sen2A sen

2A / cos

2A = sen

2A tg

2A

(secA tgA)(cscA + 1) = ctgA

[(1/cosA) senA/cosA][1/senA + 1] = [(1 senA)/cosA][(1 + senA)/senA] =

(1 sen2A)/[senA cosA] = cos2A / [senA cosA] = cosA / senA = ctgA

(1 senA)(secA + tgA) = cosA

(1 senA)(1/cosA + sen/cosA) = (1 senA)[1 + senA]/cosA = (1 sen2A)/cosA = cos2A/cosA = cosA

senA /(1 cosA) = cscA + ctgA

[senA (1 + cosA)] / [(1 cosA)(1 + cosA)] = (senA + senA cosA)/(1 cos2A) =

(senA + senA cosA)/sen2A = senA/sen

2A + senAcosA/sen

2A = (1/senA) + cosA/senA = cscA + ctgA

tgA + 2cosA cscA = secA cscA + ctgA (senA / cosA) + 2cosA (1/senA) = [sen2A + 2cos2A]/(senA cosA) = [sen2A + cos2A + cos2A]/(senA cosA) = (1 + cos2A)/(senA cosA) = 1/(senA cosA) + cos2A / (senA cosA) = cscA secA + ctgA

(tgA + ctgA)(cosA + senA) = cscA + secA [(senA / cosA) + (cosA / senA)]( cosA + senA) = [(sen2A + cos2A)/(senA cosA)](cosA + senA) = [1/(senA cosA)](cosA + senA) = cosA / (senA cosA) + senA / (senAc

a) xCosxSenxCtg b) yTagySecySen c) xSec

xSenxTag

d) xCscxCtgxSec 222 e) x

xc

xCotgCosxcos

cos1

+

+

f)xCtg

xSenxCoscxSec 22 1+

h) xSenxSec

xSenxCos

xCosxSen

=+ i) xSenxSec

xTagxTag + 1 j) xCscxSecxCtgxTag +

k) xCscxCtgxSec 22 l) ACosASenATagASec m) ( ) 122 ++ xCosxSenxCosxSen

) xSenxSec

xTagxSen

+

+

1 o)

xCosxCsc 2

2

11

p) xCscxSenxCos

xCosxSen

++1

q) ( ) xTagxSecxCscxSen 1 r) xTagxCosxSenxSec 2222 += s) ( ) 11 22 xCtgxSec t) ( ) 11 22 xSenxSec v) 12 222 xCosxSenxCos w) ( ) 11 22 + xSenxCtg y) ASecATag 22 21

z) xSenxCsc

xCtgxSec2 aa) xCtgxTag

xSecxCos

ab) ( )( ) ATagACosATag 222 11 + ac) 1

xCtgxTag

xCosxSec

ad) yCtgyTagyCtg 2

2

2

11

+

+

ae) ( ) ( ) ACscACtgACtg 222 211 ++ ad) xcx 22 coscot1 + ah) ( ) ( ) xgxx 2tan1sec1sec + ai) ( ) xxCscgxxCtg 222 sectan ++

aj) xxgxsen

xgx 222

22

seccottancos

ak) xx

x

xsen

xsensec

cos

2cos2