Question

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

Answer 1

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Answer 2

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° = $\frac{\sqrt{3} }{2}$

sin 60° = $\frac{\sqrt{3} }{2}$

Substituting the values in the equation,

= 2 ( 1 ) ² + ( $\frac{\sqrt{3} }{2}$ ) ² - ( $\frac{\sqrt{3} }{2}$ ) ²  

= 2

Hence,

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