Question

Сравните cos 20° и cos 21° 2) tg220° и tg217° 3) ctg6 и ctg6,2 Желательно с обьяснениями

Answer 1

$COS 21°=0.9336 COS 20°=0.9397 Следовательно, COS 20°>cos⁡〖21°〗  tg 220°=0.8391 > tg 217°=0.7535  ctg 6=9.514 > ctg 6.2=9.010$

Answer 2

Comparing cos 20° and cos 21°:

The cosine function is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the adjacent side to the hypotenuse. To compare cos 20° and cos 21°, we can use a calculator or refer to a trigonometric table.

According to the search results, the cosine of 20° is approximately 0.9397 [[1]]. The cosine of 21° is approximately 0.9272 [[2]]. Therefore, cos 20° is greater than cos 21°.

Comparing tg 220° and tg 217°:

The tangent function is another trigonometric function that relates the angle of a right triangle to the ratio of the length of the opposite side to the adjacent side. To compare tg 220° and tg 217°, we can again use a calculator or refer to a trigonometric table.

According to the search results, the tangent of 220° is approximately -0.7265 [[3]]. The tangent of 217° is approximately -1.7321 [[4]]. Therefore, tg 220° is greater than tg 217°.

Comparing ctg 6 and ctg 6.2:

The cotangent function is the reciprocal of the tangent function. To compare ctg 6 and ctg 6.2, we can calculate the cotangent values using the reciprocal of the tangent values.

According to the search results, the cotangent of 6 is approximately 3.7321 [[5]]. The cotangent of 6.2 is approximately 3.5590 [[6]]. Therefore, ctg 6 is greater than ctg 6.2.

In summary: - cos 20° > cos 21° - tg 220° > tg 217° - ctg 6 > ctg 6.2

Please note that these values are approximate and may vary slightly depending on the level of precision used in calculations.