Question

44 sin 53 × cos 53 ÷ sin 106

Answer 1

$\frac{44sin53*cos53}{sin106}= \frac{22*(2sin53*cos53)}{sin106}= \frac{22sin(2*53)}{sin106}= \frac{22sin106}{sin106}=22$

Answer 2

To calculate the value of the expression, let's break it down step by step:

1. Start with the numerator: 44 * sin(53) * cos(53).

   • Calculate sin(53): sin(53) ≈ 0.7986.
   • Calculate cos(53): cos(53) ≈ 0.6018.
   • Multiply: 44 * 0.7986 * 0.6018 ≈ 21.548.

2. Move on to the denominator: sin(106).

   • Calculate sin(106): sin(106) ≈ 0.9205.

3. Divide the numerator by the denominator: 21.548 ÷ 0.9205 ≈ 23.413.

Therefore, the value of the expression 44 sin 53 × cos 53 ÷ sin 106 is approximately 23.413.