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**5.** Find the values of other five trigonometric functions if \(\sin x = \frac{3}{5}\), \(x\) lies in the fourth quadrant.

**6.** Find the value of the trigonometric function \(\sin 765^\circ\).

**7.** Find the value of \(\sin^{-1} \frac{1}{2}\).

**8.** Find the value of the trigonometric function \(\tan^{-1} \frac{1}{\sqrt{3}}\).

**9.** Express the following in terms of ratios of positive angles which are less than \(360^\circ\):
   - a) \(\sin 740^\circ\)
   - b) \(\tan (-330^\circ)\)
   - c) \(\cos (-340^\circ)\)

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Would you like details for a particular question? 

Here are 5 additional questions that expand on the concepts in this section:
1. How do you determine the signs of trigonometric functions in different quadrants?
2. What is the general method for simplifying angles greater than \(360^\circ\)?
3. How can inverse trigonometric functions help in solving equations?
4. What are the key properties of \(\tan^{-1}(x)\) for various values of \(x\)?
5. What is the relationship between negative angles and their positive counterparts in trigonometry?

**Tip:** When dealing with trigonometric functions, always start by determining the angle's quadrant—it helps you assign the correct sign to the function's value.

Find the values of other five trigonometric functions if sin x = 3/5, x lies in the fourth quadrant.

Learn how to find the values of trigonometric functions given that sin x = 3/5 and x lies in the fourth quadrant. This problem covers the Pythagorean identity and the signs of trigonometric functions in different quadrants.

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