Question

The value of 2tan^2 45 degree + Cos ^2 30degree - sin 60degree is ___​

Answer 1

Answer:

The value of 2 tan² 45° + cos² 30° - sin² 60° is 2

Step-by-step explanation:

Given equation :

2 tan square 45 degree +cos square 30 degree- sin square 60 degree

The equation can be written as :

2 tan² 45° + cos² 30° - sin² 60°

Now we know,

tan 45° = 1

cos 30° = \frac{\sqrt{3} }{2}

2

3

sin 60° = \frac{\sqrt{3} }{2}

2

3

Substituting the values in the equation,

= 2 ( 1 ) ² + ( \frac{\sqrt{3} }{2}

2

3

) ² - ( \frac{\sqrt{3} }{2}

2

3

) ²

= 2

Hence,

The value of 2 tan² 45° + cos² 30° - sin² 60° is 2

Answer 2

Answer:

1.884

Step-by-step explanation:

Tan45=1

cos30=$\sqrt3/2$

sin60=$\sqrt3/2$

Now to the given equation

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

=2+3/4-$\sqrt3/2$

=(8+3-2$\sqrt3$)/4

=(11-2$\sqrt3$)/4.

As $\sqrt3$=1.732

11- 3.464/4

=1.884