Question

If cos Θ = negative 4 over 7, what are the values of sin Θ and tan Θ?

Answer 1

If cos Θ = -4/ 7
Θ is in 2nd or 3 rd quadrant
adj=4
hyp=7
From the right angle triangle opp=sqrt(7^2-4^2) =sqrt(33)
sin= opp/hyp=+ or - sqrt(33)/7
tan =opp/adj =+ or - sqrt(33)/4
option 1 is correct

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