Question

Sin40°+sin100°+sin220°+sin160°​

Answer 1

Ответ:

1,2

Объяснение:

Прориоттпритппппаывв

Answer 2

To evaluate the expression sin(40°) + sin(100°) + sin(220°) + sin(160°), we can use the trigonometric identities and the unit circle to find the values of each term individually.

1. sin(40°): We know that sin(40°) = sin(180° - 40°) = sin(140°). Since sin(140°) is positive in the second quadrant, we can find its value using the unit circle or a calculator. It is approximately 0.6428.

2. sin(100°): This angle is in the first quadrant, so we can directly use the unit circle or a calculator to find its value, which is approximately 0.9848.

3. sin(220°): We can rewrite sin(220°) as sin(360° - 220°) = sin(140°). Since we already found the value of sin(140°) in step 1, it remains the same: approximately 0.6428.

4. sin(160°): This angle is in the second quadrant, so we can find its value using the unit circle or a calculator. It is approximately 0.3420.

Now, let's substitute these values back into the expression:

sin(40°) + sin(100°) + sin(220°) + sin(160°) = 0.6428 + 0.9848 + 0.6428 + 0.3420 ≈ 2.6124

Therefore, sin(40°) + sin(100°) + sin(220°) + sin(160°) is approximately equal to 2.6124.