Question

Cos 68 - cos 22 / sin 68 - sin 22

Answer 1

Решение задания смотри на фотографии

Answer 2

To evaluate the expression:

cos(68) - cos(22) / sin(68) - sin(22)

we can use the trigonometric identities to simplify it. Specifically, the following identities will be helpful:

cos(a) - cos(b) = -2sin((a + b) / 2)sin((a - b) / 2) sin(a) - sin(b) = 2cos((a + b) / 2)sin((a - b) / 2)

Applying these identities, we get:

cos(68) - cos(22) / sin(68) - sin(22) = -2sin((68 + 22) / 2)sin((68 - 22) / 2) / 2cos((68 + 22) / 2)sin((68 - 22) / 2) = -tan(45) / sec(45) = -1

Therefore, the value of the expression is -1.