Tải bản đầy đủ
Thu gọn biểu thức lượng giác

Thu gọn biểu thức lượng giác

Tải bản đầy đủ

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a) P

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, 0 x

2
sin x cot x cos x
1

2

2

S: P

sin x

cos 2 x

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7


3

x tan x
2

2


b) P 2 cos x 3cos( x) sin

S: P cot x.

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c)



11

3
P cos(15 x) sin x tan x cot
x

2
2
2


S: P 1.

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d) P cos(2700 x) 2 sin( x 4500 ) cos( x 9000 ) 2 sin(2700 x).
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S: P 3sin x.
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3
e) P sin 2 x sin 2 x sin 2 x sin 2 ( x ).


4



2



4

S: P 2 sin 2 x.

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f) P cos7 x.cos 5 x 3 sin 2 x sin7 x.sin 5x.



S: P 2 cos 2 x




3

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g) P 3 cos 2 x sin 2x 2 sin 2 x
6



S: P 2 2 sin2x




12

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h) P



sin 2 x 2 2 cos x 2 sin x 3

4
2 sin x 3



S: P 2 cos x 1.

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1

i) P cos x cos x sin 2 x.
4

4
2

1
2

S: P cos 2 x

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j)









P sin x cos x sin x cos x

4
4

3
3



S: P 0.

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9

5

5


k) P sin x cos x sin x cos x


3

4



4



3



S: P

2 6

4

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l)

P 3 cos 2 x 5 sin 4 x 4 sin 2 x cos 2 x cos 4 x

S: P 2.

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m) P 1 sin x 1 sin x , 0 x
4

x
2

S: P 2 cos

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n) P

tan 2 x 1
cot x cos 4 x cot 2 x sin 4 x
2

S: P 0.

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o) P

sin 2 4 x

2 cos x cos 3x cos 5x

S: P 4 sin2 x cos x.

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q) P

cos 2 x sin 4 x cos 6 x

cos 2 x sin 4 x cos 6 x

S: P

2 sin 2 x 1

2 sin 2 x 1

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r)

P

1 cos x cos 2x cos 3 x

2 cos 2 x cos x 1

S: P 2 cos x.

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s) P

2(sin 2 x 2 cos 2 x 1)

cos x sin x cos 3x sin 3 x

S: P

1

sin x

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t)





P sin 2 x sin 2 x sin x sin x
3
3





3
4

S: P

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w) P tan 2 x tan x tan 2 x tan x tan x tan x S: P 1.
6

3

3

6

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3. Chửựng minh ủaỳng thửực lửụùng giaực
BT 7. Chng minh cỏc ng thc lng giỏc sau:
a)



1 cos x
sin x


sin x
1 cos x







b) sin x sin x 2 sin x.
4

4


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1 sin
1 sin
2
c)

4 tan .
1 sin
1 sin
2

d)


1 cos (1 cos )2

1 2 cot .
2

sin sin


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e) tan x

cos x
1


1 sin x cos x

3
4

1
4

f) sin 4 cos 4 x cos 4 x.

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5
8

3
8

g) sin 6 x cos6 x cos 4 x.

h) tan x cot x

2

sin 2 x

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i)


1 1 1 1 1 1
x


cos x cos , x 0;
2
2 2 2 2 2 2
8

j)

sin 2 2 x 4 sin 2 x
tan 4 x.
sin 2 2 x 4 sin 2 x 4

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