Alternatively, recall that if
, then
, and so
Take
, so that
, and we have the original limit. So the limit is equivalent to the value of
, i.e.
Find 5 percent of 10.94, which is .55.
Since it is sales tax add .55 to 10.94
You get 11.49! Hope this helps
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To solve this, I'm assuming that the equations both represent angles:
There is a theorem that states that an exterior angle of a triangle is equivalent to the sum of two remote triangles. Knowing this:
11x + 7 = 7x + 14 + 25
11x + 7 = 7x + 39
4x = 32
x = 8
Cos²(15°) - sin²(15°) = cos(15° * 2) = √(3/2 so this is the answer by using apropriate formula double angle identity
