Page 97 - Math Grade 11 (Basic)

PROEUS DARA

2 3 3
= 2sina(l-- sin a) +sin a- 2sin\x = 2sina 2sin a +sin a- 2sin a

3
[::ltHS& sin3a = 2sina-4sin a '1
u
""'
b'i'li~'U1Hl cos2a = cos(2a +a) = cos2acosa- sin2asina t?ltfl2
L.; IJ 61
3
cos3a = 4cos a- 3cosa '1

=

ry
1- 2sin~a cos2a
t?ltfl2 =
2 Jt 2Jt \
2cot(~ +a) cos (~ a) 2 tan ( - a) cos ( - a}
4 4
cos2a cos2a = cos2a =
= = 1 '1
cos2a
sm
2 . (Jt
4 a) cos(~ a) sinG- 2a)
2.2 iUtf8nS:U
u n "' J
a
n. d5t?ld2n.J 2a tr:ilru a sb a tr:ilru t94nhm-es sin2a = 2sinacosa ,
IJ 2 "' IJ 61
I
2 1 + cos2a . 2 1- cos2a 3J.. t z 1 - cos 2a
cos a = ----=--- , sm a= ... w an a=
2 1 + cos2a
za
. a
.
sma = 2 sm cos a cos - = l + cosa
2
[;?l(flS 2 ' 2 2
2a 1- cos a za 1- cosa
sin- = tan - =
2 2 2 I+ cosa
<:ll sinx 2sinxcosx sin2x sin2x
315-e~-ejlh t9J &1m n5 tan~ R tanx = = ---- = =
2
2 COSX 2cosxcosx 2cos x l + cos2x
a sin a
mt?l"d2hl x t r:il 115 2 sh a = 2x t?l(flS tan~ =
""'
0
IJ 2 + cosa

a
2tan
za . za 2
cos a = COS - - Slll - , tancx = '1
2 2 za
l- tan -
2
2a . za
cos 2 sm - 2sin~cos~
za . 2a 2 2 2
COS 2 + Slll 2 = cosa = sina = -----
za . za za . za
cos i + sm cos - + sm -
2 2 2
92