The new period is <span>
2/3 π</span>
.
The period of the two elementary trig functions, <span>sin<span>(x)</span></span><span> and </span><span>cos<span>(x)</span></span><span> is </span><span>2π</span><span>.
</span>
If we multiply the input variable by a constant has the effect of stretching or contracting the period. If the constant, c>1 then the period is stretched, if c<1 then the period is contracted.
We can see what change has been made to the period, T, by solving the equation:
<span>cT=2π</span>
What we are doing here is checking what new number, T, will effectively input the old period, 2π, to the function in light of the constant. So for our givens:
<span>3T=2π</span>
<span>T=2/3 π</span>
Other method to solve this;
<span><span>sin3</span>x=<span>sin<span>(3x+2π)</span></span>=<span>sin<span>[3<span>(x+<span><span>2π/</span>3</span>)</span>]</span></span>=<span>sin3</span>x</span>
This means "after the arc rotating three time of <span>(x+<span>(2<span>π/3</span>)</span>)</span>, sin 3x comes back to its initial value"
So, the period of sin 3x is <span><span>2π/</span>3 or 2/3 </span>π.
Answer:
The sign is buried 0.60 of a meter below the ground.
Step-by-step explanation:
Answer:
1. 0.0417
2. 0.1375
3. no
Step-by-step explanation:
lets define:
A as the probability that a car needs a warranty repair.
B as probability taht the car is manufactured by a company that is based in country X
we have the
prob(A) = 0.08
prob(B) = 0.60
prob(A∩B) = 0.025
a. we are to calculate the probability taht a car manufactured in country X needs a warranty repair.
= p(AIB) =
= 0.025/0.60
= 0.0417
2. Probability that car needs warranty repair given it was not manufactured in country X.
P(AIB')
= p(A∩B')/P(B')
= 0.08-0.025/1-0.60
= 0.055/0.40
= 0.1375
3. no, Need for warranty repair and location are not independent
275=4/3πr^3
*3/4 *3/4
206.25=πr^3
/π /π
65.66=r^3
•now find the square root which is....
4.03 cm
Answer:
A is 75
B is 15
C is 105
Step-by-step explanation:
90-75=15
B is 15
A and C have a total of 180 degrees
180-75=105
C is 105
180-105=75
A is 75