Question

cot square 30 degree minus 2 cos square 60 degree ,-3 upon 4 x square 45 - 4 sin square 30​

Answer 1

Here is the Answer:

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Answer 2

The value of given expression is $-\dfrac{1}{14}$.

Step-by-step explanation:

Note: The given expression is not correct.

Consider the given expression is

$\dfrac{\cot^2 30-2\cos^2 60-3}{4\sec^245-4\sin^2 30}$

From the table of trigonometry

$\cot 30=\sqrt{3}, \cos 60=\frac{1}{2}, \sec 45=\sqrt{2},\sin 30=\frac{1}{2}$

Substitute these values in the above expression.

$\dfrac{(\sqrt{3})^2-2(\frac{1}{2})^2-3}{4(\sqrt{2})^2-4(\frac{1}{2})^2}$

$\dfrac{3-2(\frac{1}{4})-3}{4(2)-4(\frac{1}{4})}$

$\dfrac{-\frac{1}{2}}{8-1}$

$\dfrac{-\frac{1}{2}}{7}$

$-\dfrac{1}{14}$

Therefore, the value of given expression is $-\dfrac{1}{14}$.

#Learn more

Cot square 30 degree subtract 2 cos square 60 degree minus 3 upon 4 sec square 45 degree minus 4 sec square 30 degree​.

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