Question

23/sin(23пи/6)cos(23пи/3)

Answer 1

$\frac{23}{Sin\frac{23\pi} {6}Cos\frac{23\pi} {3}}= \frac{23}{Sin(4\pi-\frac{\pi} {6})Cos(8\pi-\frac{\pi} {3})}= \frac{23}{-Sin\frac{\pi} {6}Cos\frac{\pi} {3}}= \frac{23}{-\frac{1}{2}*\frac{1}{2}}=- \frac{23}{\frac{1}{4}}=-92$

Answer 2

To calculate the expression you've provided, let's break it down step by step:

Given expression: 23 / sin(23π/6) * cos(23π/3)

Step 1: Convert angles from radians to degrees We'll convert the angles from radians to degrees since trigonometric functions in most calculators work with degrees.

23π/6 radians is equivalent to (23π/6) * (180/π) degrees. Simplifying: (23 * 180) / 6 degrees = 23 * 30 degrees = 690 degrees.

23π/3 radians is equivalent to (23π/3) * (180/π) degrees. Simplifying: (23 * 180) / 3 degrees = 23 * 60 degrees = 1380 degrees.

Step 2: Calculate the values of sine and cosine for the converted angles We'll calculate the values of sine and cosine for the angles we obtained in Step 1.

sin(690 degrees) ≈ 0.866 cos(1380 degrees) ≈ 1

Step 3: Substitute the values back into the expression Now, we'll substitute the calculated values back into the original expression.

23 / sin(23π/6) * cos(23π/3) ≈ 23 / 0.866 * 1 Simplifying: 23 / 0.866 ≈ 26.58

Therefore, the approximate value of the expression 23/sin(23π/6)cos(23π/3) is approximately 26.58.