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МОУ СОШ № 4 PowerPoint PPT Presentation


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МОУ СОШ № 4. Тема урока:. «Тригонометрические функции любого угла». «Кто с детских лет занимается математикой, тот развивает внимание, тренирует свой мозг, свою волю, воспитывает в себе настойчивость и упорство в достижении цели» А. Маркушевич. № 705

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МОУ СОШ № 4

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4

4


4

:

, , , ,

.


4

  • 705

    ) 5sin 30 - ctg45= 5 - 1 = 2;

    ) 12 sin 60 cos60 = 12

2. 728

) sin (- 60) = ;

) ctg (- 45) = 1.

3. 756

) 1 sin cos = cos-sin- sin-cos = - 2sin;

)cos - (1 - 2 sin) = cos - cos = 0.


4

  • 705

    ) 5sin 30 - ctg45= 5 - 1 = 1,5;

    ) 12 sin 60 cos60 = 12

2. 728

) sin (- 60) = - sin 60= - ;

) ctg (- 45) = - ctg 45= -1.

3. 756

) 1 sin cos = cos+sin- sin-cos = 0;

)cos - (1 - 2 sin) = cos - (cos+ sin- 2 sin)=cos - cos+ sin= sin.


4

, , . .

?


4

.

, .

= sin.

54?

Sin 2880 = sin(360* + 0) = sin 0

tg285?


4

.

, .

= sin.

54?

Sin 2880 = sin(360* + 0) = sin 0

tg285?


4


4

1185

:

) 2sin60ctg60;

) 2 sin90 + 5 tg45;

) 9 tg30ctg30


4

1185

:

) sin 1;

) (cos - 1)(1 + cos );

) sin cos ctg 1;

) ;

) tg ctg ;

)


9 7 1

9; 7, 1

9

:

:

6


9 7 11

9; 7, 1

1 7 9 6

9

:

:

6


4

(24 1729 . 6 1796 .) ; , .

, , . , . . , - , - . , , , , , .


Sin 0 6 0 90

, , sin= 0,6 0 < < 90

cos.

tg.


4

1. :

(ctg 45 - cos270 ) sin90

2sin90 - cos0

sin30 cos60 - sin45

2. :

tg ctg (ctg sin )

tg ctg - sin

tg ctg (tg ctg)+ 8


4

:

  • 1

  • cos

  • - 0,25

  • 8

  • 1

  • 2. sin


4

:

1185

1796

1

1. 1

2. cos

1

1. - 0,25

2. 8

  • 1

  • 2. sin


4

:

1185

1796

1812

1. 1

2. cos

1

1. - 0,25

2. 8

  • 1

  • sin


4

, 1185 , 1796 . 1812 . ?


4

1. ;

2. ;

3. ;

4. ;

5. ;

6. ;

7. ;

8. ;

9. , ;

10. .


4

:

28,29,31, 714 (,), 730 (,), 761(, )


4

!


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