If cot theta= -sqrt{3} text{and} sec theta<0Find sin theta

Tammy Todd

Tammy Todd

Answered question

2021-01-31

If cotθ=3 and secθ<0
Find sinθ

Answer & Explanation

Nola Robson

Nola Robson

Skilled2021-02-01Added 94 answers

Given that cotθ=3<0 and secθ then θ is in QII so sinθ>0.
since cotθ=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, sinθ=opphyp
since sinθ>0
sinθ=12

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