Trigonometric Functions

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

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Given $\sin\theta=\frac{3}{5}$ , Find $\csc\theta$

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Given $\sin\theta=\frac{3}{5}$ , Find $\cos\theta$

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Given $\sin\theta=\frac{3}{5}$ , Find $\tan\theta$

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Given $\sin\theta=\frac{3}{5}$ , Find $\sec\theta$

​The next 5 questions are based on this value

​ (Exam Question)

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

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)

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Find the angle (θ) in degrees: $\sin\theta=\frac{1}{2}$ without using a calculator.

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Find the angle (θ) in degrees: $\cos\theta=\frac{\sqrt[]{2}}{2}$ without using a calculator.

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Find the angle (θ) in degrees: $\cos\theta=\frac{\sqrt[]{3}}{2}$ without using a calculator.

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Find the angle (θ) in degrees: $\sec\theta=umdefined\$ without using a calculator.

+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)

• $$\frac{\sqrt[]{41}}{5}$$

• $$-\frac{\sqrt[]{41}}{4}$$

• $$\frac{\sqrt[]{41}}{4}$$

• $$-\frac{\sqrt[]{41}}{5}$$