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If cot x =-12/5 , and π /2 < x < π , find sin (2x) Use

double-angle identities to answer the following questions

User Masahiko
by
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1 Answer

3 votes

Answer:


-(120)/(169)

Explanation:

cot = -12/5 meaning:

x : y = -12 : 5

(π /2 < x < π → Quadran 2 → x negative & y positive)


r=√(x^2+y^2)


=√((-12)^2+5^2)


=13

x : y : r = -12 : 5 : 13


sin\ x=(y)/(r)


=(5)/(13)


cos\ x=(x)/(r)


=(-12)/(13)


sin(2x)=2sin\ x\ cos\ x


=2*(5)/(13) *(-12)/(13)


=-(120)/(169)

User Mbr
by
8.5k points

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