If cot⁡θ=−3 and secθ&lt;0 Find sin⁡θ

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If cot⁡θ=−3 and secθ&amp;lt;0 Find sin⁡θ

Nola Robson · Accepted Answer

Given that cot⁡θ=−3&amp;lt;0 and sec⁡θ then θ is in QII so sin⁡θ&amp;gt;0. since cot⁡θ=−3=−31 we can let adj =3 and opp =1 opp2+adj2=hyp2 (1)2+(3)2=hyp21+3=hyp2 4=hyp2 hyp=2 So, sin⁡θ=opphyp since sin⁡θ&amp;gt;0 sin⁡θ=12

If cot⁡θ=−3 and secθ<0 Find sin⁡θ

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