For starters,
tan(2θ) = sin(2θ) / cos(2θ)
and we can expand the sine and cosine using the double angle formulas,
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = 1 - 2sin^2(θ)
To find sin(2θ), use the Pythagorean identity to compute cos(θ). With θ between 0 and π/2, we know cos(θ) > 0, so
cos^2(θ) + sin^2(θ) = 1
==> cos(θ) = √(1 - sin^2(θ)) = 4/5
We already know sin(θ), so we can plug everything in:
sin(2θ) = 2 * 3/5 * 4/5 = 24/25
cos(2θ) = 1 - 2 * (3/5)^2 = 7/25
==> tan(2θ) = (24/25) / (7/25) = 24/7
Answer:
sure
Step-by-step explanation:
We can use this graph in the situation of an animal population of an animal species that grows exponentially until the death of Jesus, and from that point began to decrease exponentially.
It fit in the graph of the following way:
The y-axis represents the number of animals, and the x axis represents the passing of time, 0 becomes the moment in which the calendar stops being taken as before Christ and starts to be taken as after Christ.
Answer: Last option.
Step-by-step explanation:
In order to estimate the percent "n" of a number"x", you need easy numbers to work with, therefore you can round "n" and "x" up or down; but it is important to remember that this estimation does not give you an exact value.
You can observe that Sergei's first step was to round 149% and 67 up, getting this result:
To verify if this estimate is less or greater than the actual answer, we can find the actual answer. This is:
Therefore, we can conclude that<em> the estimate is greater than the actual answer because the percent and the number were both rounded up</em>.
55.15 (t) 55.2 (t) 54.34 (t) 52.08 =216.95
