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Jhulian
 one year ago
got stuck... 2sin(squared) theta =1
Jhulian
 one year ago
got stuck... 2sin(squared) theta =1

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you mean 2sin^2theta=1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[2 \sin ^2\theta=1,or~1\cos 2\theta=1\] \[\cos 2\theta=0=\cos (2n+1)\frac{ \pi }{ 2 }\] \[2 \theta=\left( 2n+1 \right)\frac{ \pi }{ 2 },\theta=\left( 2n+1 \right)\frac{ \pi }{ 4 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0here n is an integer.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.02sin²(θ) = 1 sin²(θ) = 1/2 sin(θ) = ± 1/√2 sin(θ) = ± (√2)/2 First case: sin(θ) = + (√2)/2 θ = π/4 θ = π  (π/4) = 3π/4 Second case: sin(θ) =  (√2)/2 θ = 2π  (π/4) = 7π/4 θ = π + (π/4) = 5π/4 → Solution = { π/4 ; 3π/4 ; 5π/4 ; 7π/4 }

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You are quite welcome @Jhulian if you no longer have any questions about this subject please do close the question. Thank you very much.(:
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