Prove that #sin^2 theta(1+cot^2 theta)-1=0#?

Question

13976 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-31T17:21:25

see below

#sin^2 theta(1+cot^2 theta)-1=0 #

Left Side:#=sin^2 theta(1+cot^2 theta)-1#

#=sin^2 theta csc^2 theta-1#

#=sin^2theta *1/sin^2 theta -1#

#=cancel (sin^2 theta) *1/cancel (sin^2 theta) -1#

#=1-1#

#=0#

#:. = #Right Side