Question

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3 sin 60° - 4 sin? 60°​

Answer 1

Question:-

Find the value of 3 sin60° - 4 sin60°

${\green{\underline{\underline{\bold{Solution:-}}}}}$

3 sin60° - 4 sin60°

The value of sin 60° = $\frac{\sqrt{3}}{2}</p><p></p><p>= 3 × \frac{\sqrt{3}}{2} - 4 ×\frac{\sqrt{3}}{2}</p><p></p><p>Take\: \frac{\sqrt{3}}{2} \: common </p><p></p><p>=\frac{\sqrt{3}}{2}(3-4) </p><p></p><p>=\frac{\sqrt{3}}{2}(-1) </p><p></p><p>= - \frac{\sqrt{3}}{2}$

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${\pink{\underline{\underline{\bold{Additional\: Information:-}}}}}$

• Sin 0° = 0

• Sin 30° = $\frac{1}{2}$

• Sin 45° = $\frac{1}{\sqrt {2}}$

• Sin 60° = $\frac{\sqrt {3}}{2}$

• Sin 90° = 1