Question

1)5cos^2(п/3)-2sin^2(П/6)

Answer 1

Ответ:

5* (1/2)²- 2* (1/2)²=

3* 1/4 =3/4

Answer 2

To simplify the given expression, let's start by evaluating the trigonometric functions within the parentheses.

cos(π/3) = 1/2 sin(π/6) = 1/2

Now substitute these values into the expression:

5cos^2(π/3) - 2sin^2(π/6) = 5(1/2)^2 - 2(1/2)^2 = 5(1/4) - 2(1/4) = 5/4 - 2/4 = (5 - 2)/4 = 3/4

Therefore, the simplified value of the expression 5cos^2(π/3) - 2sin^2(π/6) is 3/4.