Question

Evaluate 2 tan² us + cos² 30 - sin²60​

Answer 1

The required value of the expression is 2.

Step-by-step explanation:

Consider the provided information.

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

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

in above expression.

$\mathrm{2\tan ^2\left(45^{\circ \:}\right)+\cos ^2\left(30^{\circ \:}\right)-\sin ^2\left(60^{\circ \:}\right)}=2\cdot \:1^2+\left(\frac{\sqrt{3}}{2}\right)^2-\left(\frac{\sqrt{3}}{2}\right)^22tan$

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

Hence, the required value of the expression is 2.

#Learn more

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

https://brainly.in/question/8244485

Answer 2

Answer:

we know that,

          tan 45° = 1

           cos 30° = √3 / 2

           sin 60° = √3 / 2

By putting the values  we get,

  2 (1)² + (√3 / 2)² -  (√3 / 2)²

      = 2 + 0

      = 2 (Ans.)

                            Hope it helps

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