Trigonometric Functions

The next 4 questions are based on this value! ()

​The next 5 questions are based on this value

​ (Exam Question)

Multiple Choice

Given $$\cot\theta=-2$$ and $$\tan\theta=-\frac{1}{2}$$ , Find $$\csc\theta$$ ; ( $$\frac{\pi}{2}<\theta<\pi$$  )

• $$-5$$

• $$\sqrt[]{5}$$

• $$\frac{\sqrt[]{5}}{2}$$

• $$-\sqrt[]{5}$$

Multiple Choice

Given $$\cot\theta=-2$$ and $$\tan\theta=-\frac{1}{2}$$ , Find $$\sec\theta$$ ; ( $$\frac{\pi}{2}<\theta<\pi$$  )

• $$-\frac{5}{2}$$

• $$\sqrt[]{5}$$

• $$\frac{\sqrt[]{5}}{2}$$

• $$-\frac{\sqrt[]{5}}{2}$$

Multiple Select

Given $$\cot\theta=-2$$ and $$\tan\theta=-\frac{1}{2}$$ , Find $$\sin\theta$$ ; ( $$\frac{\pi}{2}<\theta<\pi$$  )

• $$-\frac{5}{2}$$

• $$\frac{\sqrt[]{5}}{5}$$

• $$-\frac{\sqrt[]{5}}{5}$$

• $$\frac{1}{\sqrt[]{5}}$$

Multiple Choice

Given $$\cot\theta=-2$$ and $$\tan\theta=-\frac{1}{2}$$ , Find $$\cos\theta$$ ; ( $$\frac{\pi}{2}<\theta<\pi$$  )

• $$-\frac{5}{2}$$

• $$\frac{2\sqrt[]{5}}{5}$$

• $$-\frac{2\sqrt[]{5}}{5}$$

• $$\frac{2}{\sqrt[]{5}}$$

​​ (Exam Question)

+2 (Show your work)

+5 (Show your work)

​ (Exam Question)

Multiple Choice

Given $$\tan\theta=-\frac{4}{5}$$ , and $$\cos\theta>0$$  ; Find sin θ. (USE Trigonometry identities)

• $$\sqrt[]{41}$$

• $$-\sqrt[]{41}$$

• $$\frac{\sqrt[]{41}}{4}$$

• $$-\frac{\sqrt[]{41}}{4}$$

Multiple Choice

Given $$\tan\theta=-\frac{4}{5}$$ , and $$\cos\theta>0$$  ; Find sec θ. (USE Trigonometry identities)

• $$\frac{\sqrt[]{41}}{5}$$

• $$-\frac{\sqrt[]{41}}{4}$$

• $$\frac{\sqrt[]{41}}{4}$$

• $$-\frac{\sqrt[]{41}}{5}$$