Question

Find the value of 2 sin 30°- 2/root 3 cos 30°

Answer 1

Step-by-step explanation:

=2×1/2-2/√3×√3/2

=1-2/3/2

=-1/1.5

Answer 2

Answer:

The value of given expression

$\frac{2sin30 {}^{0} - 2}{ \sqrt{3}cos30 {}^{0} } = - \frac{2}{3}$

Step-by-step explanation:

Given that,

The trigonometric expression is

$\frac{2sin30 {}^{0} - 2}{ \sqrt{3}cos30 {}^{0} }$

The value of sine and cosine functions at the given angles are

$\sin(30) = \frac{1}{2} \\ \cos(30) = \frac{ \sqrt{3} }{2}$

Substituting the above values in the given expression,we get

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

Therefore the value of the given expression is

$\frac{2sin30 {}^{0} - 2}{ \sqrt{3}cos30 {}^{0} } = - \frac{2}{3}$

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