際際滷

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Multiple and Sub Multiple Angles
mathews.suman@gmail.com
sin 2x = 2 sin x cos x
1cos22cos 2
 xx
xx 2
sin212cos 
xx 22
sincos cos 2x=
mathews.suman@gmail.com
2
1
22sin
2
1
22cos2
Evaluate
2
1
45sin)
2
1
22(2sin 緒緒
Evaluate
115cos2 2

2
3
30cos 
mathews.suman@gmail.com
Prove that
x
xx
xx
tan
cos2sin
sin2cos1



xxx
xx
coscossin2
sin)sin21(1 2


=tan x
mathews.suman@gmail.com
22
 + 
(2 + 1)
(2 + 1)
(2 + 1)
=
Prove that
x
x
xxxx
sin16
16sin
8cos4cos2coscos 
x
xxxxx
sin2
8cos4cos2cos)cossin2(L.H.S
x
xxxx
sin2
8cos4cos2cos2sin
x
xxxx
sin4
8cos4cos)2cos2sin2(
x
xxx
sin4
8cos4cos4sin
mathews.suman@gmail.com
x
xxx
sin8
8cos4cos4sin2

x
xx
sin8
8cos8sin

x
xx
sin16
8cos8sin2
x
x
sin16
16sin
mathews.suman@gmail.com
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