The slope of the minute hand on an analog clock is given by the expression cot(π/30 t), where t is time in minutes. Which of the following best represents the first time when the slope is 0.5?
-9.7 min.
-10.0 min.
-10.3 min.
-10.6 min.
2 answers
its 10.6 but i have no clue how to solve
1. C (28.3)
2. E (sec x)
3. B (tan x and sec x)
4. E (sec x)
5. A (2.5 seconds)
6. D (a=1; b=-1; c=pi)
7. C (f(x)=2sin(-1.5x+0.5)-2)
8. B (theta(t)=6cos(2pi/3 t)
9. C (x=[20,30])
10. A (a decreasing function defined in Quadrants I and II)
11. B (51°)
12. D (sqrt 1-x^2)
13. E (arccos (cosx)=x)
14. D (10.6 mins)
2. E (sec x)
3. B (tan x and sec x)
4. E (sec x)
5. A (2.5 seconds)
6. D (a=1; b=-1; c=pi)
7. C (f(x)=2sin(-1.5x+0.5)-2)
8. B (theta(t)=6cos(2pi/3 t)
9. C (x=[20,30])
10. A (a decreasing function defined in Quadrants I and II)
11. B (51°)
12. D (sqrt 1-x^2)
13. E (arccos (cosx)=x)
14. D (10.6 mins)