Question

1-2sin²60°/2sin²60°-1

Answer 1

Выносим минус и сокращаем, получается -1

Answer 2

We can simplify the given expression as follows:

1 - 2sin²60°

2sin²60° - 1

Recall that sin²θ + cos²θ = 1 for any angle θ. Using this identity, we can write:

sin²60° + cos²60° = 1

Since cos60° = 1/2, we have:

sin²60° + 1/4 = 1

Solving for sin²60°, we get:

sin²60° = 3/4

Substituting this value in the original expression, we get:

1 - 2(3/4)

2(3/4) - 1

Simplifying the numerator and denominator separately, we get:

1/2

Since 1/2 cannot be simplified further, the final simplified form of the expression is 1/2. Therefore:

1-2sin²60° ----------- = 1/2 2sin²60°-1