Question

Помогите укажите выражения,имеющие смысл a)arcs in (-1,02) b)arcctg 90 c)stuccos pi/3 d)arccos (-2/3)

Answer 1

А) - не имеет смысла, потому что sin не может быть меньше -1
b) имеет смысл, так как tgможет принимать любые значения от - ∞ до +∞
с) не имеет смысла, т.к. нет такой функции stuccos
d) имеет смысл, так как cos больше -1 и меньше 1
Ответ: имеют смысл выражения b) и d)

Answer 2

a) Arcsin(-1.02): This expression refers to the inverse sine function evaluated at -1.02. It represents the angle whose sine is equal to -1.02. Note that the sine function is only defined within the range [-1, 1], so there is no real solution for arcsin(-1.02). In this case, the expression is undefined.

b) Arccot(90): This expression refers to the inverse cotangent function evaluated at 90. It represents the angle whose cotangent is equal to 90. The cotangent function is undefined for multiples of π, so there is no real solution for arccot(90). In this case, the expression is also undefined.

c) Stuccos(π/3): It seems that you may have made a typographical error here. The term "stuccos" is not a recognized mathematical function. Please provide additional information or correct the term, and I will be happy to assist you further.

d) Arccos(-2/3): This expression refers to the inverse cosine function evaluated at -2/3. It represents the angle whose cosine is equal to -2/3. The range of the cosine function is [-1, 1], so there is a real solution for arccos(-2/3). However, the value of arccos(-2/3) is approximately 2.3005 radians or approximately 131.8 degrees.