Mavzu: Burchakning sinusi, kosinusi, tangensi va kotangensi ta’riflari 9-sinf Algebra

Mavzu:

Burchakning sinusi, kosinusi, tangensi va kotangensi ta’riflari

9-sinf

Algebra

Mustaqil bajarish uchun berilgan mashqlarni tekshirish

222-mashq. Birlik aylananing P(1;0) nuqtasini burchakka burish natijasida hosil bo‘lgan nuqtaning koordinatalarini toping.

 

y

x

o

P(1;0)

2)

 

4)

 

5)

 

6)

 

P(-1;0)

P(0;1)

P(0;-1)

P(1;0)

Mustaqil bajarish uchun berilgan mashqlarni tekshirish

226-mashq. 1) (-1;0), 2) (1;0), 3) (0;1), 4) (0;-1) nuqtalarni hosil qilish uchun P (1;0) nuqtani burish kerak bo‘lgan barcha burchaklarni yozing.

 

 

P(1;0)

P(0;1)

P(-1;0)

P(0;-1)

 

 

P(0;1)

 

Ixtiyoriy burchakning sinusi va kosinusi ta’rifi

1-ta’rif:

burchakning sinusi deb (1;0) nuqtani koordinatalar boshi atrofida burchakka burish natijasida hosil bo‘lgan nuqtaning ordinatasiga aytiladi( kabi belgilanadi).

 

P(1;0)

 

 

 

 

 

 

 

Ixtiyoriy burchakning sinusi va kosinusi ta’rifi

2-ta’rif:

burchakning kosinusi deb (1;0) nuqtani koordinatalar boshi atrofida burchakka burish natijasida hosil bo‘lgan nuqtaning abssissasiga aytiladi( kabi belgilanadi).

 

P(1;0)

 

 

abssissa

 

 

 

 

 

Ixtiyoriy burchakning sinusi va kosinusi ta’rifi

P(1;0)

 

 

 

 

 

Bu ta’riflarda burchak graduslarda, sheningdek, radianlarda ham ifodalanishi mumkin. Masalan, (1;0) nuqtani burchakka, ya’ni ga burishda (0;1) nuqta hosil qilinadi.

 

 

.

 

Misollar yechish

P(1;0)

 

 

 

1-masala.

ni toping.

 

P(-1;0)

 

 

 

2-masala.

ni toping.

Darslikning 102-sahifasidagi

Mustaqil yechish uchun topshiriqlar

Darslikning 102-sahifasidagi

222, 223, 225, 226-mashqlar.