Page 113 - Math Grade 11 (Basic)

PROEUS DARA

"h.mfi~a 1 &tt'lllLhlltl5~M{§fila sin(x-~) > sinx '1

tH!W ~M{§filUflt3'MHMS sinx- sin(x-~) <0

JC JC
x x+- x+x--
3 3
2 sin cos < 0 , 2 sin~ cos ( x - ~) < 0
2 2
rc) rc rc rc 2rc 5rc
COS X- 6 < 0 , 2 + 2krc <X- 6 < JC + + 2krc , 3 + 2krc < X < 3 + 2krc , k E Z
(
2
y
JC
2 2
2 sin x + 3 sinx - 2 ~ 0 '1
5rc
6,-~--~----~

2?+3t-2~0 ~ (2t-l)(t+2)~0 X
X
t S, -2 '[j t ~ !
"'- 2
&mru -ls.ts.l tcl'H~runfn ~s.ts.1 y'

. 1 r ..n ·~~ . JC 1 . 5rc
t = smx~ •WIUJ :m = = sm6
2 6 2
6
5
l:?ltflS ~+2krcs.xs rc+2krc (kEZ) ctuJru1m~ruls~M{§fm '1

n. 2cosx ~ -J2 2. cos2x > cos 2rc ?!. J3cosx- 1 < 0
3
J3
i:!. cotx< '1
3

cos(a+f3) = cosacosf3-sinasinf3, cos(a-{3) = cosacosf3+sinasinf3

sin (a+ f3) = sino. cos J3 + sinf3 coso. , sin( a- f3) = sin a cos J3- sinf3cosa

tan(a+f3) = tana+tanf3 tan(a-{3)= tana-tanf3
l- tanatanf3 1 + tanatanf3

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