Answer:
Explanation:
Given:
1 + sin t/cos t = cos t / 1 - sin t
We will first multiply the numerator and denominator of the left side of the identity by the expression (1 - sin t)
(1 + sin t) · (1 - sin t) / cost · (1 - sin t) = 1 - sin² t / cos t · (1 - sin t)
We know it is sin² t + cos² t = 1 => cos² t = 1 - sin² t
if we replace 1 - sin² t with cos² t that we get
cos² t / cos t · (1 - sin t) = cos t / 1 - sin t the proof is complete.
God is with you!!!
Answer:
Explanation:
We have given the value of resistance R = 30 ohm
Time in which current will decreases to 26% is 3 ms
The discharging equation of the capacitor is given by
here is time constant which is given as
So
WE know that
Speed and velocity have the same magnitudes. The only difference is that speed is a scalar quantity and velocity is a vector quantity. In other words, speed is just a magnitude, while velocity is a magnitude with direction. They're essentially the same.
Let's convert miles to meters and minutes to seconds
1/4 mile = 402.34 meters ( 1 mile = 1609 m)
13.1 minutes = 786 seconds (1 minute = 60 seconds)
Speed is calculated as distance over time, thus,
Speed = (402.34 meters)*8/786 seconds
a.) Speed = 4.1 m./s
b.) Velocity = 4.1 m/s
Answer:
<em>The force is now 9 times the original force</em>
Explanation:
<u>Coulomb's Law
</u>
The electrostatic force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
Coulomb's formula is:
Where:
q1, q2 = the particles' charge
d= The distance between the particles
Suppose the distance is reduced to d'=d/3, the new force F' is:
The force is now 9 times the original force