10 sinf trigonometriya

sin30=?

• 1/2

• 3/2

• 2/3

• 1

Answer explanation

The sine of 30 degrees is a well-known trigonometric value. It equals 1/2, which is the correct answer. The other options do not represent the sine of 30 degrees.

tg(п/2+а)=?

• ctga

• -ctga

• tga

• -tga

Answer explanation

Using the tangent addition formula, tg(п/2 + a) = -ctg(a). Therefore, the correct answer is -ctga.

cos60=?

• 1/2

• 3/2

• 3/3

• -1

Answer explanation

The cosine of 60 degrees is a well-known trigonometric value. It equals 1/2, making it the correct answer. The other options do not represent the cosine of 60 degrees.

sin(п-a)=?

• sina

• -sina

• cosa

• -cosa

Answer explanation

Using the sine subtraction identity, sin(π - a) = sin(a). Therefore, the correct answer is sina.

ctg(п+a)=?

• ctga

• -ctga

• tga

• -tga

Answer explanation

Using the identity ctg(п + a) = ctga, we find that the correct answer is ctga. The cotangent function has a periodicity that allows this simplification.

cos(п/2+а)=?

• sina

• -sina

• cosa

• -cosa

Answer explanation

Using the cosine angle addition formula, cos(π/2 + a) = -sin(a). Therefore, the correct answer is -sina.

Bir tekislikda yotmaydigan to'g'ri chiziqlar qanday to'g'ri chiziqlar deyiladi?

• parallel

• ayqash

• perpendikulyar

• kesishuvchi

Answer explanation

Bir tekislikda yotmaydigan to'g'ri chiziqlar 'ayqash' deb ataladi. Bu chiziqlar bir-birini kesib o'tadi, lekin bir tekislikda joylashmaydi. Boshqa variantlar, masalan, parallel chiziqlar, bir tekislikda yotadi.

Asosi beshburchakdan iborat prizmaning nechta uchi , qirrasi, yog'i bor?

• U=10

  Q=15

  Y=7

• U=7

  Q=15

  Y=10

• U=10

  Q=7

  Y=15

• U=15

  Q=10

  Y=7

Answer explanation

Asosi beshburchakdan iborat prizmaning uchi (U) 10, qirrasi (Q) 15, va yog'i (Y) 7. Bu hisob-kitoblar prizmaning geometrik xususiyatlariga asoslangan holda to'g'ri keladi.

Fazoda tekislikda yotmagan nuqtadan nechta parallel to'g'ri chiziq o'tkazish mumkin?

• bitta

• ikkita

• cheksiz

• Mumkin emas

Answer explanation

Tekislikda bir nuqtadan faqat bitta parallel to'g'ri chiziq o'tkazish mumkin. Boshqa chiziqlar parallel bo'lishi uchun bir xil yo'nalishda bo'lishi kerak, shuning uchun to'g'ri javob 'bitta'.

Asosi sakkiz burchakli piramidaning nechta uchi bor?

• 9

• 8

• 10

• 19

Answer explanation

Asosi sakkiz burchakli piramida 8 ta burchakdan iborat, har bir burchakning uchi va piramidaning tepasidagi 1 ta uchi bor. Shuning uchun jami 8 + 1 = 9 uchi bor.