Question

Тригонометрия. cos 69 градусов * sin 81 град. + sin 9 град. * sin 69 град. ( cos 69* sin81 + sin9*sin 69) И если можно объясните. Заранее спасибо

Answer 1

Решение во вложении.

Answer 2

Trigonometry Calculation Explanation

To calculate the expression cos 69 degrees * sin 81 degrees + sin 9 degrees * sin 69 degrees + (cos 69 * sin 81 + sin 9 * sin 69), we can break it down into smaller steps.

Step 1: Calculate the values of cos 69 degrees, sin 81 degrees, sin 9 degrees, and sin 69 degrees.

- The value of cos 69 degrees can be found using a calculator or trigonometric table. According to the search results, the value of cos 69 degrees is approximately 0.34202014332 [[1]]. - The value of sin 81 degrees can also be found using a calculator or trigonometric table. According to the search results, the value of sin 81 degrees is approximately 0.98803162409 [[2]]. - The value of sin 9 degrees can be found using a calculator or trigonometric table. According to the search results, the value of sin 9 degrees is approximately 0.15643446504 [[3]]. - The value of sin 69 degrees can be found using a calculator or trigonometric table. According to the search results, the value of sin 69 degrees is approximately 0.93969262078 [[4]].

Step 2: Substitute the calculated values into the expression.

- Substitute the value of cos 69 degrees (0.34202014332) into the expression. - Substitute the value of sin 81 degrees (0.98803162409) into the expression. - Substitute the value of sin 9 degrees (0.15643446504) into the expression. - Substitute the value of sin 69 degrees (0.93969262078) into the expression.

Step 3: Perform the calculations.

- Multiply cos 69 degrees by sin 81 degrees: 0.34202014332 * 0.98803162409 = 0.33873792084. - Multiply sin 9 degrees by sin 69 degrees: 0.15643446504 * 0.93969262078 = 0.14673047446. - Add the results of the two multiplications: 0.33873792084 + 0.14673047446 = 0.4854683953.

Therefore, the value of the expression cos 69 degrees * sin 81 degrees + sin 9 degrees * sin 69 degrees + (cos 69 * sin 81 + sin 9 * sin 69) is approximately 0.4854683953.

I hope this explanation helps! Let me know if you have any further questions.