Question

The value of sin²30°- cos²30°=?​

Answer 1

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$\longrightarrow \sf { \sin}^{2} 30 \degree- { \cos}^{2} 30\degree\\ \\ \longrightarrow \sf { \bigg(\frac{1}{2}\bigg) }^{2} - \bigg({ \frac{ \sqrt{3} }{2} \bigg)}^{2} \\ \\ \longrightarrow \sf \frac{1}{4} - \frac{3}{4} \\ \\ \longrightarrow \sf \frac{1 - 3}{4} \\ \\\longrightarrow \sf - \frac{2}{4} \\ \\\longrightarrow \sf - \frac{1}{2}$

Answer 2

Answer:

we know that

sin 30° = 1/2

cos30°= √3/2

sin²30°-cos²30°

= (1/2)²-(√3/2)²

= 1/4-3/4

= -2/4

= -1/2