Question

-4 sin^2x + 5 - 4 cos^2x

Answer 1

-4(sin^2x+cos^2x)+5= -4+5=1
sin^2x+cos^2x=1

Answer 2

To simplify the expression, we can use the trigonometric identity:

sin^2(x) + cos^2(x) = 1

Let's rewrite the expression using this identity:

-4 sin^2(x) + 5 - 4 cos^2(x) = -4(1 - cos^2(x)) + 5 - 4 cos^2(x)

Expanding the expression, we get:

-4 + 4cos^2(x) + 5 - 4cos^2(x)

Combining like terms, we have:

(-4cos^2(x) + 4cos^2(x)) + (-4 + 5) = 0 + 1 = 1

Therefore, the simplified expression is 1.