SOLUTION: I don't get how to verify trig identities such as: {{{cot^2y(sec^2y-1)= 1}}}. How is this done?

Question 132844: I don't get how to verify trig identities such as: AMP Parsing Error of [cot^2y(sec^2y-1)= 1]: Invalid function '\y(sec^2\y-1)=1': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70. . . How is this done?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note: I'm only manipulating the left side. I'm only showing the right side for comparison.

AMP Parsing Error of [cot^2y(sec^2y-1)= 1]: Invalid function '\y(sec^2\y-1)=1': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70. . Start with the given equation

AMP Parsing Error of [cot^2y((tan(y))^2)= 1]: Invalid function '\y((tan(y))^2)=1': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70. . Replace AMP Parsing Error of [sec^2y-1]: Invalid function '\y-1': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70. . with

Replace AMP Parsing Error of [cot^2y]: Invalid function '\y': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70. . with

Multiply

Divide and cancel like terms. Since the two sides are equal, this verifies the identity.
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