Question

7√2 * синус 15 пи на 8* косинус 15 пи на 8

Answer 1

7√2 sin15П/8 ·cos15П/8 =2·3,5√2· sin15П/8 ·cos15П/8=3,5√2sinП/4=3,5√2·√2/2=3,5

Answer 2

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Answer 3

First, let's convert the angle 15π/8 to degrees:

15π/8 radians * (180 degrees/π radians) ≈ 168.75 degrees

Next, we can evaluate the sine and cosine of 168.75 degrees using a calculator or trigonometric identity:

sin(168.75°) ≈ -0.9239 cos(168.75°) ≈ -0.3827

Substituting these values into the expression, we get:

7√2 * sin(15π/8) * cos(15π/8) = 7√2 * (-0.9239) * (-0.3827) ≈ 2.507

Therefore, 7√2 * sin(15π/8) * cos(15π/8) ≈ 2.507.