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Precalculus Mathematics Homework Help
Solving cos(θ)^x+sin(θ)^x=1 for x: How many real solutions exist?
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[QUOTE="Nathanael, post: 5420634, member: 509990"] When you say "the only solution possible," what you really mean is, "the only solution possible [I][B]for all values of θ[/B][/I]" right? If you were to choose a particular value of θ and prove that 2 is the only solution for that θ, then that would prove what you want, because if x is not 2 then x does not solve it for that particular θ you chose. This means you only have to prove it for any single value of θ. Do you agree? I didn't want to hint at it too much, but if you choose the θ such that cosθ=sinθ then you can factor together the exponent x and complete the proof. [/QUOTE]
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Precalculus Mathematics Homework Help
Solving cos(θ)^x+sin(θ)^x=1 for x: How many real solutions exist?
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