PDF - 68.3 ko

`0,ÝÑ
i , ÝÑ j˘CO
1C
MCθ
´ÝÑ
i , ÝÝÑ OM¯
cos θsin θ
M
O
M
sin θ
cos θ
tan θ
cotanθ
θ
tan θ“sin θ
cos θθDtan “Rz!π 2`kπ, k PZ)
cotanθ“cos θ
sin θθDcotan “Rztkπ, k PZu
RxÞÑ cos x2π
RxÞÑ sin x2π
Dtan xÞÑ tan x π
Rxsin1x“cos x
cos1x“ ´sin x
ı´π
2`kπ;π 2`kπ”k
tan1x“1`tan2x“1
cos2x
xsin ´π
2`x¯“cos x
π
2ÝÑ
i
xcos2x`sin2x“1
1
2
3
´1
´2
´3
π
2π3π 2
´π
2
´π
´3π
2
ÝÑ
i
ÝÑ
j

θ0π
6
π
4
π
3
π
2
sin pθq01
2
?2
2
?3
21
cos pθq1?3
2
?2
2
1
20
tan pθq0?3
3?3
cos p´xq “ cos x
sin p´xq “ ´sin x
cos pπ`xq “ ´cos x
sin pπ`xq “ ´sin x
cos pπ´xq “ ´cos x
sin pπ´xq “ sin x
cos ´π
2`x¯“ ´sin x
sin ´π
2`x¯“cos x
cos ´π
2´x¯“sin x
sin ´π
2´x¯“cos x
cospa`bq “ cos acos b´sin asin b
cospa´bq “ cos acos b`sin asin b
sinpa`bq “ sin acos b`cos asin b
sinpa´bq “ sin acos b´cos asin b
tanpa`bq “ tan a`tan b
1´tan atan b
tanpa´bq “ tan a´tan b
1`tan atan b
cosp2aq “ cos2a´sin2a
“2 cos2a´1
“1´2 sin2a
sinp2aq “ 2 sin acos a
tanp2aq “ 2 tan a
1´tan2a
cos2a“1`cosp2aq
2
sin2a“1´cosp2aq
2
cos acos b“1
2pcos pa`bq ` cos pa´bqq
sin acos b“1
2psin pa`bq ` sin pa´bqq
sin asin b“1
2pcos pa´bq ´ cos pa`bqq
sin p`sin q“2 sin ´p`q
2¯cos ´p´q 2¯
sin p´sin q“2 cos ´p`q
2¯sin ´p´q 2¯
cos p`cos q“2 cos ´p`q
2¯cos ´p´q 2¯
cos p´cos q“ ´2 sin ´p`q
2¯sin ´p´q 2¯
θ t “tan θ
2
cos θ“1´t2
1`t2
sin θ“2t
1`t2
tan θ“2t
1´t2
x
cos a“cos bô$
&
%
a“b`2kπ
ou
a“ ´b`2kπ
, k PZ
sin a“sin bô$
&
%
a“b`2kπ
ou
a“π´b`2kπ
, k PZ
tan a“tan bôa“b`kπ, k PZ