If cot (π/2 - x) = -3/4 , what is sec^2(x)?

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Answer 1 · 2016-08-05T14:49:18

#sec^2(x)= 25/16#

#Cot(pi/2-x)=-3/4#

Use the identity.
#cot(pi/2-x)=tan(x)#

#tan(x)=-3/4#

Now use the identity
#Sec^2(x)=1+tan^2(x)#

#sec^2(x)=1+(-3/4)^2#

#sec^2(x)=1+9/16#

# =(16+9)/16#

#sec^2(x)= 25/16#