Answer:
{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}
Step-by-step explanation:
sinx can run from -1 to +1
2sinx can run from -2 to +2
2sinx -1 can run from -3 to +1
However, the square root is imaginary when x < 0. So, the condition is
2sinx -1 ≥ 0
2sinx ≥ 1
sinx ≥ ½
x ≥ π/6 (30°)
So, in the interval [0, 2π], π/6 ≤ x ≤ 5π/6
However, the sine is a cyclic function and repeats itself every 2π.
Over all real numbers, the condition is (π/6 +2πn) ≤ x ≤ (5π/6 + 2πn).
The domain is then
{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}
Answer:
452
Step-by-step explanation:
Have a Wonderful day
52.35 * 20% = 10.47
52.35+10.47 =62.82 total bill plus tip
62.82/ by number of people (this piece is missing)
Answer:
105 degrees is the third angle measure.
Step-by-step explanation:
All triangles angle measures add up to 180 degrees, so 55+20=75, and 180-75=105, therefore the answer is 105.
Answer:
sorry if wrong
Step-by-step explanation:
Probability and statistics are related areas of mathematics which concern themselves with analyzing the relative frequency of events. ... Probability deals with predicting the likelihood of future events, while statistics involves the analysis of the frequency of past events.
