If $$a \cos x + b \sin x = c$$
Find the possible values of $\tan x$ in terms of $a, b, c$.
Find the possible values of $\tan x$ in terms of $a, b, c$.
Tuesday, September 26, 2017
Monday, September 4, 2017
No calculus IVT for quadratic.
Suppose $$f(x) = x^2 + bx + c$$ and that $f(0) \lt 0$ and $f(1) \gt 0$.
Since $f$ is continuous, by the intermediate value theorem there is some $c \in (0,1)$ such that $f(c) = 0$.
The question here is to prove that in an elementary way, without using any calculus concepts.
Since $f$ is continuous, by the intermediate value theorem there is some $c \in (0,1)$ such that $f(c) = 0$.
The question here is to prove that in an elementary way, without using any calculus concepts.
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