Question

Evaluate
2 (cos² 45° + tan square 60°) - 6 (Sin ²-45°- tan square 30°)​

Answer 1

Answer:

The value of the expression is 6.

Answer 2

Answer:

6

Step-by-step explanation:

We know that :

cos 45° = 1/√2

tan 60° = √3

sin 45° = 1/√2

tan 30° = 1/√3

So now,

2(cos²45° + tan²60°) - 6(sin²45° - tan²30°)

=> 2[(1/√2)² + (√3)²] - 6[(1/√2)² - (1/√3)²]  

=> 2[1/2 + 3] - 6[1/2 - 1/3]

=> 2(7/2) - 6(1/6)

=> 7 - 1  => 6