Question

sin 45 degree into cos 45 degree minus sin square 30 degree​

Answer 1

Question

sin45°cos45° - sin²30°

$\textbf{ANSWER}$

Substituting values of the ratios we get,

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

Answer 2

$\sin 45^\circ\times \cos 45^\circ-\sin^2 30^\circ=\frac{1}{4}$

Step-by-step explanation:

Given : Expression $\sin 45^\circ\times \cos 45^\circ-\sin^2 30^\circ$

To find : Solve the expression ?

Solution :

Expression  $\sin 45^\circ\times \cos 45^\circ-\sin^2 30^\circ$

Using trigonometric values,

$\sin 30=\frac{1}{2}$

$\sin 45=\frac{1}{\sqrt2}$

$\cos 45=\frac{1}{\sqrt2}$

Substitute the values,

$=\frac{1}{\sqrt2}\times \frac{1}{\sqrt2}-(\frac{1}{2})^2$

$=\frac{1}{2}-\frac{1}{4}$

$=\frac{2-1}{4}$

$=\frac{1}{4}$

Therefore, $\sin 45^\circ\times \cos 45^\circ-\sin^2 30^\circ=\frac{1}{4}$

#Learn more

Tan(45+A)×tan(45-A)​

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