Question

evaluate 2 tan^2 45°+cos^2 30°-sin^2 60°

Answer 1

Answer: answer is 2

Step-by-step explanation:

Answer 2

Answer:

The value of given expression is 2.

Step-by-step explanation:

we have to evaluate

$2\tan^2 45^{\circ}+\cos^2 30^{\circ}-\sin^2 60^{\circ}$

$\tan 45^{\circ}=1$

$\cos 30^{\circ}=\frac{\sqrt3}{2}$

$\sin 60^{\circ}=\frac{\sqrt3}{2}$

$2\tan^2 45^{\circ}+\cos^2 30^{\circ}-\sin^2 60^{\circ}$

$2(1)^2+(\frac{\sqrt3}{2})^2-(\frac{\sqrt3}{2})^2$

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

$2$

The value of given expression is 2.