Question

find the value of 4 sin ²30-4 cos ²60
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Answer 1

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$\longrightarrow \sf4 \ { \sin}^{2} 30 - 4 \ { \cos}^{2}60 \\ \\ \longrightarrow \sf4 \bigg( \frac{1}{2} { \bigg)}^{2} - 4 \bigg( \frac{1}{2} { \bigg)}^{2} \\ \\\longrightarrow \sf\bigg( 4 \times \frac{1}{4}\bigg) -\bigg( 4 \times \frac{1}{4} \bigg) \\ \\\longrightarrow \sf 1 - 1 \\ \\\longrightarrow \sf 0$

Answer 2

Answer:

0

Step-by-step explanation:

4 sin²30 - 4cos² 60

On substituting sin 30 = (1/2) and cos 30 = (1/2)

4 (1/2)² - 4(1/2)²

0

ALTERNATIVE METHOD

4 sin²30 - 4cos²60

4cos²(90-30) - 4cos²60. ( sinx = cos(90-x))

4 cos²(60) - 4cos²60

4 (1/2)² - 4(1/2)²

0