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
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Answer:
First, find the area of rectangle.
20 × 30 = 600
Next multiply the square
10 × 10 = 100
Now the curve.
100/2 =50
Then Add all of it.
Hope this helps!
-Fishylikeswater
Answer:
27
Step-by-step explanation:
if you do the triangle formula bxh/2
9x6/2=27
Answer:
See below
Step-by-step explanation:
I assume you mean 
:
Holes: Since reduces to 
, then there is a hole at 
as 
exists in both the numerator and denominator (however, its limit as x approaches 0 is 1/5).
Vertical Asymptotes: If we further reduce to 
, then we see that there are vertical asymptotes at 
and 
Horizontal Asymptotes: As the degree of the numerator is less than the degree of the numerator (
), then there is a horizontal asymptote at 
