MATHEMATIC.IN CONTACT FOR HOME TUITION CLASS 11TH 12 ALSO CONTACT FOR ADMISSIONIN B.TECH,BBA,BCA
text
1. prove that
(i )
cos 2 A + cos 2
3
( Roorkee )
( A + 120 ) + cos ( A − 120 ) =
2
0
2
0
2. Find n if
,3) P ( n + 13)
( i ) 2 P ( n=
10,3) P ( 9,3) + 3P ( 9, 2 )
( ii ) P (=
3.Pr ove that
1
180 =
.
2
4. In any ∆ ABC, prove that
( ii )
1
1
1
A sin B sin C .
2
2
2
When sines and cosines are in first degree
cosA+ cos B + cos C=1+4 sin
43
(i )
15
( i ) cos 360 − sin
In any ∆ABC prove that sin 2A+ sin2B+sin2c=4sin A sinB sin C.
10
14
5. 2 cos 2 θ − 5cos θ + 2 =
0
6. prove that
cos a + 2 cos 3a + cos 5a
= cos 3a sec 5a.
(i ).
cos 3a + 2 cos 5a + cos 7 a
7. prove that :
2 + 2 + 2 + 2 cos 8θ =
2 cos θ
1
0 for the general solution .
=
4
9.Solve the following equation for :
98
8.Solve : sin 2 θ − 2 cos θ +
( i ) tan 2θ − (1 +
)
3 tanθ + 3 =0
91
( ii ) tanθ +tan 2θ + 3 tanθ tan2θ =
2
( iii ) sin θ + 3 cos θ =
3
10.
In any∆ABC , prove that :
B −C b−c
A
=
cot
.
( i ) tan
2
b+2
2
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