Question

Tan square 30 - sin square 30 upon tan square 45 + cos square 30

Answer 1

Solve .....

tan²30 - sin²30 /tan²45 + cos²30

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Solution....

$\frac{ \tan {}^{2}30 - \sin {}^{2} 30 }{ \tan {}^{2} 45 + \cos^{2} 30 } \\ \\ = > \frac{ \frac{1}{ \sqrt{3} } - \frac{1}{2} }{1 - \frac{ \sqrt{3} }{2} } \\ \\ = > \frac{ \frac{2 - \sqrt{3} }{2 \sqrt{3} } }{ \frac{2 - 2 \sqrt{3} }{2} } \\ \\ = > \frac{2 - \sqrt{3} }{2 \sqrt{3} } \times \frac{2}{2 - 2 \sqrt{3} } \\ \\ = > \frac{2(2 - \sqrt{3}) }{2 \sqrt{3} (2 - 2 \sqrt{3}) }$

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Hope it's helps you ☺️ ✨✨✨

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Values of trigonometry ....

✨sin 30° = 1/2

✨cos 30 = √3/2

✨tan 45° = 1

✨tan 30° = 1/√3

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Thanks ✨✨✨