Question

Cos 31°. Sin 126⁰° - Cos 118⁰ . tg 60° .

Answer 1

Ответ:

поясніть питання будь ласка

Answer 2

To solve this expression, let's break it down step by step:

1. Cos 31°: Use a scientific calculator or the trigonometric identity to find the cosine of 31 degrees. Cos 31° ≈ 0.8572

2. Sin 126°: Use a scientific calculator or the trigonometric identity to find the sine of 126 degrees. Sin 126° ≈ 0.9781

3. Cos 118°: Use a scientific calculator or the trigonometric identity to find the cosine of 118 degrees. Cos 118° ≈ -0.3090

4. Tan 60°: Use a scientific calculator or the trigonometric identity to find the tangent of 60 degrees. Tan 60° = √3 ≈ 1.732

Now, let's substitute the values into the expression:

0.8572 * 0.9781 - (-0.3090) * 1.732

Multiply the first two terms:

≈ 0.8378 - (-0.5346)

Simplify the subtraction:

≈ 0.8378 + 0.5346

≈ 1.3724

So, the value of the expression Cos 31° * Sin 126° - Cos 118° * Tan 60° is approximately 1.3724.