Answer:
Because θ lies in quadrant II, 2θ must lie in quadrant IV. This means the tangent of 2θ is negative.
The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.
The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ).
Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)).
Simplified, this becomes tan 2θ = -336/527.
Therefore, the answer is C. -336/527.
Decompose the terms in the sum as
so there are 20 terms in the sum. Then our sum simplifies to
Now, if
we can reverse the order of terms to get the same sum,
so that doubling up the sum gives
So, our sum evaluates to
There's missing information. What does f(x) approach as x approaches negative infinity and infinity?
Answer:
13125 per year
Step-by-step explanation:
2007-1999=8
255000-150000=105000
105000÷8=13125
