Question

Tg A = 7 ділене на 24з'ясуй синус цього кута дріб не скорочуй

Answer 1

Calculating the Sine of (7/24) in Detail

To calculate the sine of the angle (7/24), we can use the trigonometric identity that relates the sine of an angle to the cosine of its complement. The complement of an angle is the difference between that angle and a right angle (90 degrees or π/2 radians).

First, let's find the complement of the angle (7/24): Complement = 90° - (7/24) * 360° Complement = 90° - 15° Complement = 75°

Now, we can use the trigonometric identity: sin(θ) = cos(90° - θ)

So, we can find the cosine of the complement angle (75°) and then use it to calculate the sine of the original angle (7/24).

Let's calculate the cosine of 75°: cos(75°) ≈ 0.258819

Now, we can use the trigonometric identity to find the sine of (7/24): sin(7/24) = cos(75°) ≈ 0.258819

Therefore, the sine of the angle (7/24) is approximately 0.258819.