What is (1-cotx)(1+cotx)-csc^2x?

2 Answers
Shiva Prakash M V
Feb 13, 2018

The answer is zero

Explanation:

#(1-cotx)(1+cotx)-csc^2x#
#=1-cot^2x-csc^2x#
#csc^2x=1+cot^2x#
Thus,
#=1-cot^2x-(1+cot^2x)#
#=1-cot^2x-1+cot^2x#
#=0#
The answer is zero

Please verify

Jim G.
Feb 13, 2018

#-2cot^2x#

Explanation:

#"using the "color(blue)"trigonometric identity"#

#•color(white)(x)1+cot^2x=csc^2x#

#(1-cotx)(1+cotx)=1-cot^2x#

#rArr1-cot^2x-csc^2x#

#=1-cot^2x-(1+cot^2x)#

#=-2cot^2x#

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