Question #144320
If sec(α)<0 and the sin(α)=15/17

What is the exact value of cot(α)
1
Expert's answer
2020-11-17T06:37:18-0500

sec(α)=1cos(α)sec(\alpha)=\frac 1 {cos(\alpha)} . if sec(α)<0sec(\alpha)<0 then cos(α)<0cos(\alpha)<0 .

cos(α)=1sin2(α)=1(1519)2=64289=817cos(\alpha)=-\sqrt{1-sin^{2}(\alpha)}=-\sqrt{1-(\frac {15} {19})^{2}}=-\sqrt{\frac{64} {289}}=-\frac 8 {17}

cot(α)=cos(α)sin(α)=815cot(\alpha)=\frac {cos(\alpha)} {sin(\alpha)}=-\frac 8 {15}


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS