sum of sin theta+cos theta is always greater than 1
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Let θ be an arbitrary acute angle. Prove that sin(θ)+cos(θ)≥1. (sin(θ)+cos(θ))2=1+2sin(θ)cos(θ)≥0 so, (sin(θ))+cos(θ))2>1(sin(θ)+cos(θ))2≥1
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