Question

Find the value of 2tan square 45'+ cos square 30'- sin square 30'

Answer 1

Answer:

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

Step-by-step explanation:

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