Question

find the value of 3 sin 30 - 4 sin cube 60​

Answer 1

Answer:

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Answer 2

Value of given expression is 3(1-✓3)/2.

Given - 3 sin 30 - 4 sin cube 60

Find - Value

Solution - Solving the value of given expression by expanding it.

Firstly keep the values of sin 3p and sin 60

Value = $3 \times \frac{1}{2} - 4 \times {(\frac{ \sqrt{3} }{2} )}^{3}$

Taking cube of sin 60

Value = $\frac{3}{2} - 4 \times \frac{ \sqrt{3} \times \sqrt{3} \times \sqrt{3} }{2 \times 2 \times 2}$

Performing multiplication of cube of sin 60

Value = $\frac{3}{2} - 4 \times \frac{3 \sqrt{3} }{8}$

Performing division

Value = $\frac{3}{2} - \frac{3 \sqrt{3} }{2}$

Taking 3/2 common from both fractions

Value = $\frac{3}{2} (1 - \sqrt{3} )$

Hence, the value of given expression is 3(1-✓3)/2.

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