Page 83 - Math Grade 11 (Basic)
P. 83
PROEUS DARA
sin(rr + 8) = -sin8 , cos(rr + 8) = -cos8
tan(rr + 8) = tan8 , cot(rr + 8) = cote
sin210° = sin( 180° + 30°) = -sin30° = -! '1
2
tan ?rr = tan(rr + ~) = tan~ = J3
2 6 6 3
A = 2cos(rr- 2x) + sin(rr + y)- 2cos(rr- 2x)- sin(rr + y)
= 2cos2x- siny + 2cos2x + siny = 0 '1
y
IQ! -j. -7 ~
QtH~bUHnHl.Jl'i:flUHf:l'i:f12 (OA , OP) = 8 2h
I
--7 -> 3t 3t
( 0 A 0 P) = + 8 = ( -8) '1
2 2
t1 AP' ctlm.hnmt2t1tL:H15'i:f12~infd (-8) ffi't3 2rr '1 x'
OS c:t .......:; c:t &
u u u
sin( 8 + ~) = cos(-8) = cos8 ,
cos(e+~) = sin(-8) =-sine
tan( 8 + ~) = cot(-8) = -cote ,
cot( 8 + ~) = tan( -8) = -tan8
5
tan rr = tan(~+~) = -cot~ = J3 '1
6 3
-tan~
4
=--=-= 1 '1
COSJt -!
cos(-288°)cot72° _ tan o '1
18
tan( -162 °) sin 108 o
cos(-288°)cot72° _ cos(-360°+72°)cot72° t o
--;'---::-:::-::-:~~=-::: - tan 180 - - an 18
tan( -162°) sin 108° tan(- 180° + 18°) sin(90° + 18°)
_ cos72°tanl8° t o _ cos(90° -l8°)tan 18° t o
- -an 18 - -an 18
tan 18 o cos 18 o tan 18 o cos 18 o
sin 18 o
= - o-tan18° = tanl8°-tanl8° = 0
cos 18
f:lMSl sin870° , cos(-135°) , tan765° , cot~rr '1
f:lMSl (cot44° + tan226°)cos406° no o '1
cos316o -cot cot 18
78