Question

Find the value of 4/3 tan² 30°+ sin² 60° - 3cos² 60°+ 3/4 tan² 60° - 2 tan² 45°.
Please answer

Answer 1

Answer:

25/36

Step-by-step explanation:

4/3 tan² 30°+ sin² 60° - 3cos² 60°+ 3/4 tan² 60° - 2 tan² 45°

= 4/3 x (1/√3)² + (√3/2)² - 3 x (1/2)²+3/4 x (√3)² - 2 x (1)²

= 4/9 + 3/4 - 3/4 + 9/4 - 2

= 4/9 + 9/4 - 2

=  (16+81-72)/36     (taking LCM = 36)

= 25/36

Answer 2

Answer:

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