Question

1-2sin^260/2sin^260-1

Answer 1

(1-2sin260°)/(2sin260°-1)=
-(2sin260°-1)/(2sin260°-1)=-1

Answer 2

To simplify the expression 1 - 2sin^2(60)/2sin^2(60) - 1, first, let's work on the numerator and the denominator separately.

1. Numerator: sin^2(60) = (sin(60))^2 = (sqrt(3)/2)^2 = 3/4

Now, the numerator becomes: 1 - 2 * (3/4) = 1 - (3/2) = -1/2

2. Denominator: sin^2(60) = (sin(60))^2 = (sqrt(3)/2)^2 = 3/4

Now, the denominator becomes: 2 * (3/4) - 1 = 3/2 - 1 = 1/2

Now, we have the expression as follows: (-1/2) / (1/2)

To divide by a fraction, we can multiply by its reciprocal. So the expression becomes:

(-1/2) * (2/1) = -1

Therefore, the simplified expression is -1.