SOLUTION: Pleease help me solve the identity!!
{{{(1-cotx)/cscx + (cscx)/cotx = (1+cotx)/(cscxcotx)}}}
Thanks so much in advance and please reply as soon as possible
Algebra.Com
Question 773689: Pleease help me solve the identity!!
Thanks so much in advance and please reply as soon as possible
Answer by trx1150(14) (Show Source): You can put this solution on YOUR website!
When solving an identity, always start with the side that looks more complicated.
To me, I think that the left side looks more complicated. In the following work, I will only be manipulating the left side and leaving the right side out for now.
The denominator of the right side is cscxcotx so we must try and get the denominators to match up. To get a common denominator, we can multiply the left fraction by cotx and the right fraction by cscx.
From here, let's simplify the expression by distributing where needed. Note that we can now combine the fractions since they have the same denominator but we will hold off on that temporarily.
AMP Parsing Error of [(cotx-cot^2x)/cotxcscx + (csc^2x)/cotxcscx]: Invalid function '\x)/cotxcscx+(csc^2\x)/cotxcscx': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.
For the right fraction, let's rewrite AMP Parsing Error of [csc^2x]: Invalid function '\x': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.
as AMP Parsing Error of [1+cot^2x]: Invalid function '\x': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.
by using the pythagorean identity AMP Parsing Error of [csc^2x=1+cot^2x]: Invalid function '\x=1+cot^2\x': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.
.
We know have AMP Parsing Error of [(cotx-cot^2x)/cotxcscx + (1+cot^2x)/cotxcscx]: Invalid function '\x)/cotxcscx+(1+cot^2\x)/cotxcscx': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.
Let's now combine the fractions.
AMP Parsing Error of [(cotx-cot^2x+1+cot^2x)/cotxcscx]: Invalid function '\x+1+cot^2\x)/cotxcscx': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.
And then finally combine like terms.
Let me know if you have any other questions.
RELATED QUESTIONS
Please help me solve this:
Verify the following... (answered by Alan3354)
(1+cosx)(cscx-cotx) (answered by stanbon)
pls. help me solve this problem.
cotx/cscx +... (answered by stanbon)
Please help me verify this trig problem: (cotx/csc-1)=... (answered by Alan3354)
Prove the identity:
{{{-Cotx + Sinx/(1-Cosx) =Cscx}}}
(answered by AnlytcPhil)
Prove the identity:
1+cosx/sinx = cscx +... (answered by greenestamps)
Prove the identity:... (answered by Alan3354)
simplify (cscx - cotx)(secx +... (answered by josgarithmetic)
1+cscx/secx=cosx+cotx (answered by Alan3354)