Problems 3 to 5 1 pt each Find the values exactly 3 arccos 1

Problems 3 to 5: 1 pt. each. Find the values exactly. 3. arccos (-1/2) 4. arcsin (-2/2) 5. arccot (3)

Solution

solution:

3)

= arccos(-½)
= 2/3, 4/3

4) actually you cannot since the range of the inverse sine function is [- / 2 , / 2 ]

but ignoring that if = arcsin (- 2 / 2 ) then sin = - 1 / 2 , which you should know what the value of needs to be ...- 4

5)

let: arccot(sqrt(3)) = x, then:
cot(x) = sqrt(3)
1/tan(x) = sqrt(3)
tan(x) = 1/sqrt(3)
x = arctan(1/sqrt(3))
x = pi/3 + kpi
x = 2pi/3 , 5pi/3