Question

-6 sin142градуса / sin71градус * sin19градусов

Answer 1

Решение внизу на фото

Answer 2

To simplify the expression, let's first convert the angles from degrees to radians, since the trigonometric functions in most programming languages and calculators work with radians.

1 degree (°) is equal to π/180 radians. So, to convert the angles:

142 degrees = 142 * (π/180) radians ≈ 2.4788 radians 71 degrees = 71 * (π/180) radians ≈ 1.2392 radians 19 degrees = 19 * (π/180) radians ≈ 0.3316 radians

Now, we can rewrite the expression using radians:

-6 * sin(2.4788) / (sin(1.2392) * sin(0.3316))

Using a calculator, we can evaluate the sin values:

sin(2.4788) ≈ -0.5660 sin(1.2392) ≈ 0.9352 sin(0.3316) ≈ 0.3279

Now, substitute the values:

-6 * (-0.5660) / (0.9352 * 0.3279)

Finally, calculate the result:

≈ -3.3968 / 0.3066 ≈ -11.0794

So, the simplified value of the expression is approximately -11.0794.