Answer:
4.125 gallons
Step-by-step explanation:
Write your answer in radians in terms of pi
The solutions of the given equation are -1, 0, -2, 0, -2 for the values of θ in the interval [0, 2π) respectively.
A tangent of an angle is defined as the ratio of the sine of the angle to the cosine of the angle.
tan θ = (sin θ)/(cos θ)
The given equation is
tan θ - 1 =0
solving for the values in between [0, 2π)
In this interval, the possible values for θ(in the case of tan) are 0, π/4, 3π/4, 5π/4, and 7π/4.
So, the solutions are:
for θ = 0,
⇒ tan (0) - 1 = -1
for θ = π/4,
⇒ tan(π/4) - 1 = 0
for θ = 3π/4,
⇒ tan(3π/4) - 1 = -2
for θ = 5π/4,
⇒ tan(5π/4) - 1 = 0
for θ = 7π/4,
⇒ tan(7π/4) - 1 = -2
Thus, the solutionset for the given equation in the interval [0, 2π) is {-1, 0, -2, 0, -2}
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Answer:
{π/4, 5π/4}
Step-by-step explanation:
Tan theta -1=0 could be rewritten as tan Ф = 1. The tangent function is 1 at Ф = π/4. As the period of the tangent function is π,
tan Ф = 1 will be true for Ф = π/4 + π, or (5/4)π.
The solution set is {π/4, 5π/4}.
B. |–6|, 0, 4, –|–7|
C. –|3|, |–2|, 0, 5
D. |–10|, –|–7|, 3, |–9|
Answer:
15/16
Step-by-step explanation:
Answer:
15/16
Step-by-step explanation:
First turn 1 1/4 into an improper fraction, 5/4. Then, set up the equation: 5*3/4*4=? You know that 5 times 3 is 15 and that 4 times 4 is 16. Therefore, the answer will be 15/16. Hope this helps!