Question

1)Выразите угол 40° в радианах a)8пи/9 в)пи/8 с)пи/12 д)2пи/9 е)2пи/3 2)Найдите градусную меру угла,радианная мера которого пи/5 а)45° в)72° с)18° д)36° е)15° пожалуйста помогите с решениями

Answer 1

Converting degrees to radians:

To convert an angle from degrees to radians, you can use the formula: radians = (degrees * π) / 180.

1) To express an angle of 40° in radians: - Using the formula, we have: radians = (40 * π) / 180. - Simplifying the expression, we get: radians = 2π / 9. - Therefore, the angle of 40° in radians is 2π/9.

Converting radians to degrees:

To convert an angle from radians to degrees, you can use the formula: degrees = (radians * 180) / π.

2) To find the degree measure of an angle with a radian measure of π/5: - Using the formula, we have: degrees = (π/5 * 180) / π. - Simplifying the expression, we get: degrees = 36°. - Therefore, the degree measure of an angle with a radian measure of π/5 is 36°.

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