How do you verify the identity #csc^4theta-cot^4theta=2cot^2theta+1#?

Question

4178 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-07T18:09:24

see below

#csc^4 theta-cot^4 theta = 2 cot^2 theta + 1#

Left Side : #=csc^4 theta-cot^4 theta#

#=(csc^2 theta-cot^2theta)(csc^2 theta+cot^2 theta)#

#=1* (csc^2 theta+cot^2 theta)#

#=csc^2 theta+cot^2 theta#

#=1+cot^2 theta + cot^2 theta#

#=1+2 cot ^2 theta#

#=2 cot ^2 theta+1#

#:.=# Right Side