All in one.
Find the absolute minimum value of the following function:
∣ sin x + cos x + tan x + cot x + sec x + csc x ∣
The answer is 1.828.
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1 solution
I have absolutely no idea how to solve this algebraically...
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You take sin x + cos x = t . Then, tan + cot becomes t 2 − 1 2 and sec + csc becomes t 2 − 1 2 t . It gets reduced to a simple function whose range can be calculated, the only condition is that − √ 2 < t < √ 2