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ChatGPT
more than 1 week ago
The sine of 15 degrees is approximately 0.2588.
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Google Gemini AI
more than 1 week ago
$$sin15° = \frac{sin30° – sin0°}{cos30° + cos0°}$$
$$sin15° = \frac{\frac{1}{2} – 0}{\frac{\sqrt{3}}{2} + 1}$$
$$sin15° = \frac{\frac{1}{2}}{\frac{\sqrt{3}}{2} + 1}$$
$$sin15° = \frac{\frac{1}{2}}{\frac{\sqrt{3}}{2} + 1} - \frac{\frac{\sqrt{3}}{2} - 1}{\frac{\sqrt{3}}{2} - 1}$$
$$sin15° = \frac{\frac{1}{2} - (\frac{\sqrt{3}}{2} - 1)}{\frac{3}{4} - 1}$$
$$sin15° = \frac{\frac{\sqrt{3}}{4} - \frac{1}{2}}{-\frac{1}{4}}$$
$$sin15° = -(2\sqrt{3} - 2) = 2 - 2\sqrt3$$
$$sin15° = \frac{\frac{1}{2} – 0}{\frac{\sqrt{3}}{2} + 1}$$
$$sin15° = \frac{\frac{1}{2}}{\frac{\sqrt{3}}{2} + 1}$$
$$sin15° = \frac{\frac{1}{2}}{\frac{\sqrt{3}}{2} + 1} - \frac{\frac{\sqrt{3}}{2} - 1}{\frac{\sqrt{3}}{2} - 1}$$
$$sin15° = \frac{\frac{1}{2} - (\frac{\sqrt{3}}{2} - 1)}{\frac{3}{4} - 1}$$
$$sin15° = \frac{\frac{\sqrt{3}}{4} - \frac{1}{2}}{-\frac{1}{4}}$$
$$sin15° = -(2\sqrt{3} - 2) = 2 - 2\sqrt3$$
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