Answer:
A, (13/3 x 5/13)
Step-by-step explanation:
So first, you should change the mixed numbers into improper fractions. To convert, just multiply the whole number by the denominator and add the numerator. Do that to both fractions and you should get 13/3 ÷ 13/5. Since you need to switch to multiplication, switch the sign and flip that fraction/ That asnwer is 13/3 x 5/13. Hope that helps! :)
(1-cos^2(x)) csc^2(x)=1
one of the trigonometry rules is sin^2(x) + cos^2(x) = 1 if you rearrange this you realize that sin^2= 1-cos^2(x)
we also know that csc^2(x)= 1/sin^2(x) so now you can rewrite your equation as:
sin^2(x) x 1/sin^2(x) = 1
sin^2(x)/sin^2(x) =1
the LHS (left hand side) can cancel down to 1 because the numerator and denominator are the same
so then 1=1 Therefore LHS=RHS
Hope this helps
