Question

Sin105°- sin75° есептеу​

Answer 1

0

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Answer 2

To find the value of sin(105°) - sin(75°), you can use the sum-to-product trigonometric identity:

sin(A) - sin(B) = 2 * sin((A - B) / 2) * cos((A + B) / 2)

In this case, A = 105° and B = 75°, so:

sin(105°) - sin(75°) = 2 * sin((105° - 75°) / 2) * cos((105° + 75°) / 2)

Now, calculate the values inside the sine and cosine functions:

1. (105° - 75°) / 2 = 15°
2. (105° + 75°) / 2 = 90°

Now, you have:

sin(105°) - sin(75°) = 2 * sin(15°) * cos(90°)

sin(15°) is a common trigonometric value. You can find it using a calculator or table of trigonometric values. sin(15°) is approximately 0.258819.

cos(90°) is 0.

So, the final result is:

2 * 0.258819 * 0 = 0