Question

Найдите значение выражения 2 синус 30 градусов плюс косинус 45 градусов

Answer 1

2sin 30° + cos 45° = 2*1/2 + √2/2 = 1 + √2/2 

Answer 2

I can help you with your math question.

The value of the expression 2 sin 30° + cos 45° can be found by using the trigonometric formulas for the sine and cosine of special angles. These are angles whose trigonometric values can be expressed in terms of simple fractions or square roots. The special angles are 0°, 30°, 45°, 60°, and 90°. Here is a table that shows the sine and cosine values for these angles:

| Angle | Sine | Cosine | | ----- | ---- | ------ | | 0° | 0 | 1 | | 30° | 1/2 | √3/2 | | 45° | √2/2 | √2/2 | | 60° | √3/2 | 1/2 | | 90° | 1 | 0 |

Using this table, we can substitute the values of sin 30° and cos 45° in the expression:

2 sin 30° + cos 45° = 2 (1/2) + √2/2 = 1 + √2/2

This is the exact value of the expression. If you want to find the approximate decimal value, you can use a calculator to evaluate the square root of 2 and then add it to 1. The result is about 1.707.

You can learn more about the trigonometric functions and how to find their values for different angles from these sources: , , . I hope this helps. Have a nice day!