Question

Sin11°15`cos11°15`cos22°30`cos45°

Answer 1

Sin11°15`cos11°15`cos22°30`cos45°=0,5*2Sin11°15`cos11°15`cos22°30`cos45°=0,5*Sin22°30`cos22°30`cos45°=0,25*2*Sin22°30`cos22°30`cos45°=0,25*Sin45°cos45°=0,125*2*Sin45°cos45°=0,125* Sin90°=0,125

Answer 2

To calculate the value of the expression sin(11°15') * cos(11°15') * cos(22°30') * cos(45°), we can break it down step by step using the trigonometric identities:

1. Convert the angles from degrees and minutes to decimal form:

   • 11°15' = 11 + 15/60 = 11.25 degrees
   • 22°30' = 22 + 30/60 = 22.5 degrees
   • 45° = 45 degrees

2. Substitute the decimal values into the expression: sin(11.25°) * cos(11.25°) * cos(22.5°) * cos(45°)

3. Calculate the trigonometric values using a scientific calculator or trigonometric tables: sin(11.25°) ≈ 0.192 cos(11.25°) ≈ 0.981 cos(22.5°) ≈ 0.924 cos(45°) = 1/sqrt(2) ≈ 0.707

4. Multiply the calculated values together: 0.192 * 0.981 * 0.924 * 0.707 ≈ 0.122

Therefore, sin(11°15') * cos(11°15') * cos(22°30') * cos(45°) is approximately 0.122.