Question

Sin7° 30' *cos 7° 30' *cos 15°

Answer 1

Ответ:

0,125

Объяснение:

Формула 2sinx·cosx=sin2x

sin7° 30' ·cos 7° 30' ·cos 15°=0,25·(2(2sin7° 30' ·cos 7° 30' )·cos 15°)=

0,25·(2sin(2·7° 30')·cos 15°)=0,25(2sin15°·cos 15°)=0,25sin(2·15°)=0,25sin30°=

=0,25·0,5=0,125

Answer 2

To calculate the value of the expression sin(7°30') * cos(7°30') * cos(15°), you can follow these steps:

Step 1: Convert all angles from degrees and minutes to decimal degrees.

1 degree = 60 minutes, so 7°30' = 7 + 30/60 = 7.5 degrees. 15° = 15 degrees.

Step 2: Use a calculator to find the trigonometric function values for each angle.

sin(7.5°) ≈ 0.130526 cos(7.5°) ≈ 0.991445 cos(15°) ≈ 0.965926

Step 3: Multiply the results together.

sin(7°30') * cos(7°30') * cos(15°) ≈ 0.130526 * 0.991445 * 0.965926 ≈ 0.12686

So, sin(7°30') * cos(7°30') * cos(15°) ≈ 0.12686 (rounded to five decimal places).