You're given that φ is an angle that terminates in the third quadrant (III). This means that both cos(φ) and sin(φ), and thus sec(φ) and csc(φ), are negative.
Recall the Pythagorean identity,
cos²(φ) + sin²(φ) = 1
Multiply the equation uniformly by 1/cos²(φ),
cos²(φ)/cos²(φ) + sin²(φ)/cos²(φ) = 1/cos²(φ)
1 + tan²(φ) = sec²(φ)
Solve for sec(φ) :
sec(φ) = - √(1 + tan²(φ))
Given that cot(φ) = 1/4, we have tan(φ) = 1/cot(φ) = 1/(1/4) = 4. Then
sec(φ) = - √(1 + 4²) = -√17
Answer:
Part A: 6250
Part B: No
Step-by-step explanation:
Part B: When Time is 2 Hours, the cost is $30.
30x3=90 < 100
So the unlimited weekly pass is not cheaper
(Find the value of y by given x)
Answer:
3
Step-by-step explanation:
the equation would be 5 = 3(3) - 4
which is 9 - 4 = 5
Convert 91% to a decimal:
Multiply the amount of people by this decimal:
Round the number to the nearest ones value:
1809.
99
9 > 5
1809.99 -> 1810
1,810 people have reached the top of Mount Everest.
Answer:
C.
Step-by-step explanation:
y = 1/ x must pass through the origin because when x = 0, y = 0.
So its either B or C.
A positive slope rises to the right ( 1/2 is positive), so its C.
You can also see that the slope of C is 1/2 because it passes through the points (0.0) and (2, 1).
