1.3E: Mazoezi ya Sehemu ya 1.3

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Edwin “Jed” Herman & Gilbert Strang
OpenStax

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Katika mazoezi 1 - 5, kubadilisha kila angle kwa digrii kwa radians. Andika jibu kama nyingi ya$π$.

1)$240°$

Jibu: $\frac{4π}{3}$rad

2)$15°$

3)$60°$

Jibu: $\frac{π}{3}$rad

4)$-225°$

5)$330°$

Jibu: $\frac{11π}{6}$rad

Katika mazoezi 6 - 10, kubadilisha kila angle katika radians kwa digrii.

6)$\frac{π}{2}$ rad

7)$\frac{7π}{6}$ rad

Jibu: $210°$

8)$\frac{11π}{2}$ rad

9)$-3π$ rad

Jibu: $-540°$

10)$\frac{5π}{12}$ rad

Katika mazoezi 11 - 16, tathmini maadili ya kazi.

11)$\cos \frac{4π}{3}$

Jibu: $\cos \frac{4π}{3}=-0.5$

12)$\tan \frac{19π}{4}$

13)$\sin \left(-\frac{3π}{4}\right)$

Jibu: $\sin \left(-\frac{3π}{4}\right) = -\frac{\sqrt{2}}{2}$

14)$\sec \left(-\frac{π}{6}\right)$

15)$\sin \left(-\frac{π}{12}\right)$

Jibu: $\sin \left(-\frac{π}{12}\right) = \dfrac{\sqrt{3}-1}{2\sqrt{2}}$

16)$\cos \left(-\frac{5π}{12}\right)$

Katika mazoezi 17 - 22, fikiria pembetatu$ABC,$ pembetatu sahihi na angle sahihi$C.$

Pata upande wa kukosa wa pembetatu.

pata maadili sita ya kazi ya trigonometric kwa angle$A.$

Ambapo ni lazima, pande zote kwa sehemu moja ya decimal.

$Picha ya pembetatu. Pembe tatu za pembetatu zimeandikwa “A”, “B”, na “C”. Kati ya kona A na kona C ni upande b Kati ya kona C na kona B ni upande kati ya kona B na kona A ni upande c. angle ya kona C ni alama na alama ya pembetatu ya kulia. Pembe ya kona A imewekwa na ishara ya angle.$ 225 ° = 225 ° ν π 180 ° = 5 π 4

17)

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