San yil Sinf: 9-sinf Fan

c) rivojlantiruvchi: o’quvchilar bilimini rivojlantirish, ko’nikma va malakasini o’stirish, fikrlash qobiliyatini riviojlantirish.

Dars turi: O’quvchilar bilimini tekshirish

Dars uslubi : Yozma ish

Tashkiliy qism.

Salomlashish. Navbatchining o’quvchilar davomati, darsga tayyorligi to’g’risidagi axborotini tinglash.

Darsning borishi:

I variant

1. Ifodani soddalashtiring va α=bo’lganda son qiymatini toping: cos²α+ctg²α+sin²α=

2. Ifodaning ishorasini aniqlang: sin160⁰; cos205⁰; tg97⁰.

3. Hisoblang:sin(-30⁰)+cos(-60⁰)-2tg(-30⁰)ctg(-60⁰).

4. Agar sin𝛼 = cos𝛼, tg 𝛼, ctg𝛼 larni hisoblang.

5. Ayniyatni isbotlang: (1-cos²α)(1+ctg²α)=1.

II variant

1. Ifodani soddalashtiring va α=bo’lganda son qiymatini toping: cos²α+tg²α+sin²α=

2. Ifodaning ishorasini aniqlang: sin88⁰; cos155⁰; tg105⁰.

3. Hisoblang: 5sin(-45⁰)+cos(-45⁰)-3tg(-30⁰)+sin(-30⁰).

4. Agar sin𝛼 = cos𝛼, tg 𝛼, ctg𝛼 larni hisoblang.

5. Ayniyatni isbotlang: cos²α(1+tg²α)-sin²α=cos²α.

Yechimlari:

I variant

____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________