aussy123
How do I solve this problem?
Solve for cosθ in sin^2θ + cos^2θ = 1
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terenzreignz
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This?
\[\large \sin^2\theta+\cos^2\theta=1\]
aussy123
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yes
terenzreignz
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Well, let's see...
How to break this to you...
cosθ can literally be any value from [-1 , 1]
Let me explain... the value of cosθ depends on the value of θ, right?
aussy123
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yes
terenzreignz
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Well, unfortunately (fortunately?)
ANY value of θ would make this statement true
sin²θ + cos²θ = 1
hartnn
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he/she needs to solve for cos
so, subtract sin^2 term from both sides, what u get ?
terenzreignz
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Oops... Must have been overexcited :)
My bad
aussy123
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Im trying to write it but its giving me a hard time
aussy123
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±√(1 + sin2Θ)
hartnn
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did you mean \(\pm \sqrt{1-\sin^2 \theta}\) ??
aussy123
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yes I pasted the wrong one Sorry, my computer is acting really crazy today
hartnn
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ohh..if you meant that, then you are correct.
aussy123
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ok thanks you made this very easy, thank you.. :)
hartnn
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glad to hear :) welcome ^_^