SOLUTION: trying to help my son but it has been 30 years for me doing these. {{{csc^4x - 2csc^2x + 1 = cot^4x}}} {{{(csc^2x)/(cot(x)) = csc(x)*sec(x)}}}

Question 271498: trying to help my son but it has been 30 years for me doing these.
AMP Parsing Error of [csc^4x - 2csc^2x + 1 = cot^4x]: Invalid function '\x-2\csc^2\x+1=cot^4\x': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70. .

AMP Parsing Error of [(csc^2x)/(cot(x)) = csc(x)*sec(x)]: Invalid function '\x)/(cot(x))=csc(x)*sec(x)': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70. .

Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!


AMP Parsing Error of [csc^4x - 2csc^2x + 1 = cot^4x]: Invalid function '\x-2\csc^2\x+1=cot^4\x': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


Work with the left side only:

Factor the left side:

AMP Parsing Error of [(csc^2x-1)(csc^2-1)=""]: Invalid function '\x-1)(csc^2-1)=""': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


Use the identity AMP Parsing Error of [1+cot^2alpha=csc^2alpha]: Invalid function '\alpha=csc^2\alpha': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.
 or AMP Parsing Error of [cot^2alpha=csc^2alpha-1]: Invalid function '\alpha=csc^2\alpha-1': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


AMP Parsing Error of [(cot^2x)(cot^2x)=""]: Invalid function '\x)(cot^2\x)=""': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


AMP Parsing Error of [cot^4x=""]: Invalid function '\x=""': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


--------------------------------------

AMP Parsing Error of [(csc^2x)/(cot(x))  =  csc(x)*sec(x)]: Invalid function '\x)/(cot(x))=csc(x)*sec(x)': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


Work with the left side only 

AMP Parsing Error of [(csc^2x)/(cot(x))=""]: Invalid function '\x)/(cot(x))=""': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.


Use the identity  to
rewrite the numerator and the identity  to rewrite the denominator:





Write as a division:



Invert the second fraction and change the division to multiplication:



Cancel





Use the identities  and 
to rewrite those factors



Edwin

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