<em>θ</em> is given to be in the fourth quadrant (270° < <em>θ</em> < 360°) for which sin(<em>θ</em>) < 0 and cos(<em>θ</em>) > 0. This means
cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1 ==> sin(<em>θ</em>) = -√[1 - cos²(<em>θ</em>)] = -3/5
Now recall the double angle identity for sine:
sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)
==> sin(2<em>θ</em>) = 2 (-3/5) (4/5) = -24/25
Answer:
8 miles.
Step-by-step explanation:
Answer:
every year the branches increase 75%
Step-by-step explanation:
<span>This time, we start from the left side.
sec^6x-tan^6x =(sec^2x)^3-(tan^2x)^3
Then, use the identity:
a^3-b^3 = (a-b)(a^2+ab+b^2)
we get (sec^2x-tan^2x)(sec^4x+sec^2x tan^2x+ tan^4x)
Since (tan^2x+1=sec^2x)
We have \((\sec^2x-\tan^2x) = 1\).
So, (sec^2x-tan^2x)(sec^4x+sec^2x tan^2x+tan^4x)
(=sec^4x+sec^2xtan^2x+tan^4x)
Then consider (sec^4x), (sec^4x = sec^2x (sec^2x) = sec^2x(tan^2x+1) = sec^2x tan^2x+ sec^2x)
Consider (tan^4x), (tan^4x = tan^2x (tan^2x) = tan^2x(sec^2x+1) = sec^2x tan^2x- tan^2x)
Substitute the two back to (sec^4x+sec^2x tan^2x+tan^4x, and simplify it.
With the help of the identity sec^2x-tan^2x = 1, you should be able to get the right side.</span>
Answer:
141.35
Step-by-step explanation:
123.75 divide by 7 equal 17.6
123.75 + 17.6 = 141.35
