Question

Sin68sin38-sin52cos112

Answer 1

Ответ:

≈-0,715989

Пошаговое объяснение:

Answer 2

To calculate the value of the expression sin(68)sin(38) - sin(52)cos(112), we'll need to use the trigonometric identities. Here are the steps to solve it:

1. First, express sin(112) in terms of trigonometric functions with angles 68 and 38.

sin(112) = sin(180 - 68) = sin(68)

2. Now, the expression becomes:

sin(68)sin(38) - sin(52)cos(112) = sin(68)sin(38) - sin(52)sin(68)

3. Next, use the double angle identity for sin(2θ):

sin(2θ) = 2sin(θ)cos(θ)

4. Applying the double angle identity, we can rewrite the expression as:

sin(68)sin(38) - sin(52)sin(68) = sin(68) * (2 * sin(38) - sin(52))

Now, you need the specific values for sin(38) and sin(52) to proceed with the calculation. Since I don't have access to the internet for real-time data, I'll use approximate values based on common trigonometric tables:

sin(38) ≈ 0.6157 sin(52) ≈ 0.7880

Finally, substitute these values into the equation:

sin(68) * (2 * sin(38) - sin(52)) ≈ sin(68) * (2 * 0.6157 - 0.7880) ≈ sin(68) * (1.2314 - 0.7880)

Again, I'll need the specific value of sin(68) to complete the calculation. Using approximate values, sin(68) ≈ 0.8978.

sin(68) * (1.2314 - 0.7880) ≈ 0.8978 * 0.4434 ≈ 0.3982

So, the approximate value of the expression sin(68)sin(38) - sin(52)cos(112) is 0.3982.