Question 37 the answer is about x=5.25 can someone explain to me how to do that problem without a calculator also question 39 there is supposed to be two answers i found .52 but the other one is x=2.26 and idk how to get that one and again no calculator

37) m∠x = 5.25

39) m∠x = 0.5236 and m∠x = 2.62

Step-by-step explanation:

37)

∵ cotx = -0.6 and 3π/2 ≤ x ≤ 2π

∴ tanx = -1/0.6

∵ ∠ x in the fourth quadrant ⇒ ∴ m∠x = 2π - α where α is an acute angle

∵ tanα = 1/0.6 ⇒ α =

∴ α = 1.03038

∴ m∠x = 2π - 1.03038 = 5.25

39)

∵ cscx = 2 and 0 ≤ x ≤ 2π

∴ sinx = 1/2 ⇒ +ve value

∴ ∠x is in the first quadrant or the second quadrant

∴ m∠x = α or m∠x = π - α

∵ sinα = 1/2 ⇒ ∴ α =

∴ α = 0.5236

∴ m∠x = 0.5236

∴ m∠x = π - 0.5236 = 2.6216 ≅ 2.62

3

step-by-step explanation:

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.