Precalculus - Trigonometric Exact Values

8 flashcards · Mathematics · by luckydog789 (harrison holbrook)

1. 0∘ or 00^{\circ} \text{ or } 00∘ or 0

   sin⁡(θ)=0 cos⁡(θ)=1\sin(\theta)=0 \text{ }\cos(\theta)=1sin(θ)=0 cos(θ)=1

2. 30∘ or π630^{\circ} \text{ or } \frac{\pi}{6}30∘ or 6π​

   sin⁡(θ)=12 cos⁡(θ)=32\sin(\theta)=\frac{1}{2} \text{ }\cos(\theta)=\frac{\sqrt{3}}{2}sin(θ)=21​ cos(θ)=23 ​​

3. 45∘ or π445^{\circ} \text{ or } \frac{\pi}{4}45∘ or 4π​

   sin⁡(θ)=22 cos⁡(θ)=22\sin(\theta)=\frac{\sqrt{2}}{2} \text{ }\cos(\theta)=\frac{\sqrt{2}}{2}sin(θ)=22 ​​ cos(θ)=22 ​​

4. 60∘ or π360^{\circ} \text{ or } \frac{\pi}{3}60∘ or 3π​

   sin⁡(θ)=32 cos⁡(θ)=12\sin(\theta)=\frac{\sqrt{3}}{2} \text{ }\cos(\theta)=\frac{1}{2}sin(θ)=23 ​​ cos(θ)=21​

5. 90∘ or π290^{\circ} \text{ or } \frac{\pi}{2}90∘ or 2π​

   sin⁡(θ)=1 cos⁡(θ)=0\sin(\theta)=1 \text{ }\cos(\theta)=0sin(θ)=1 cos(θ)=0

6. 180∘ or π180^{\circ} \text{ or } {\pi}180∘ or π

   sin⁡(θ)=0 cos⁡(θ)=−1\sin(\theta)=0 \text{ }\cos(\theta)=-1sin(θ)=0 cos(θ)=−1

7. 270∘ or 3π2270^{\circ} \text{ or } \frac{3\pi}{2}270∘ or 23π​

   sin⁡(θ)=−1 cos⁡(θ)=0\sin(\theta)=-1 \text{ }\cos(\theta)=0sin(θ)=−1 cos(θ)=0

8. 360∘ or 2π360^{\circ} \text{ or } 2\pi360∘ or 2π

   sin⁡(θ)=0 cos⁡(θ)=1\sin(\theta)=0 \text{ }\cos(\theta)=1sin(θ)=0 cos(θ)=1