Question

evaluate: 2 tan² 45°+ cos² 30° - sin² 60​

Answer 1

2tan²45+cos²30-sin²60

=2*1+(√3/2)²-(√3/2)²

=2+3/4-3/4

=2

Answer 2

The required value of the expression is 2.

Step-by-step explanation:

Consider the provided information.

$\mathrm{2\tan ^2\left(45^{\circ \:}\right)+\cos ^2\left(30^{\circ \:}\right)-\sin ^2\left(60^{\circ \:}\right)}$

Substitute $\tan \left(45^{\circ \:}\right)=1, \cos \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{2}, \sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}$ in above expression.

$\mathrm{2\tan ^2\left(45^{\circ \:}\right)+\cos ^2\left(30^{\circ \:}\right)-\sin ^2\left(60^{\circ \:}\right)}=2\cdot \:1^2+\left(\frac{\sqrt{3}}{2}\right)^2-\left(\frac{\sqrt{3}}{2}\right)^2$

$=2+\frac{3}{4}-\frac{3}{4}$

$=2$

Hence, the required value of the expression is 2.

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5 sin square 30 + cos square 45 - 4 x square 30 / 2 sin 30 into cos 30 + tan 45 find the value

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