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Alright, now we need to find the values of **sin(60°)** and **sin(36°)**. **sin(60°)** is a common value that you might already know, or can quickly look up. **sin(60°) = √3 / 2**. Evaluating sine values is a fundamental aspect of trigonometry. The sine function relates an angle to the ratio of the opposite side to the hypotenuse in a right triangle. For certain angles, such as 0°, 30°, 45°, 60°, and 90°, the sine values are well-known and can be easily memorized or looked up in a trigonometric table. For other angles, the sine values can be found using a calculator or trigonometric software. In some cases, it may be necessary to use trigonometric identities to express the sine value in terms of known values. For example, we can use the angle sum and difference identities to find the sine of angles that are sums or differences of known angles. In this problem, we need to find the values of **sin(60°)** and **sin(36°)**. The value of **sin(60°)** is a standard trigonometric value that is equal to **√3 / 2**. The value of **sin(36°)** is not as common, but it can be found using various methods, such as geometric arguments or trigonometric identities. In the next section, we'll discuss how to find the value of **sin(36°)** using a geometric approach.
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