SOLUTION: Hi. Please help me verify this equation as an identity:
{{{sec(theta)/tan(theta)}}} + {{{(1 - tan(theta))/sec(theta)}}} = {{{(1+tan(theta))/(sec(theta)tan(theta))}}}
I have
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-> SOLUTION: Hi. Please help me verify this equation as an identity:
{{{sec(theta)/tan(theta)}}} + {{{(1 - tan(theta))/sec(theta)}}} = {{{(1+tan(theta))/(sec(theta)tan(theta))}}}
I have
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Question 602442: Hi. Please help me verify this equation as an identity:
+ =
I have been trying to work on this for an hour now but I always end up with 1/sin theta = 1, or csc theta = 1, and obviously that's not the right answer.
Please show me how to do this properly since my teacher only speaks to the white board...
Thank you! Found 2 solutions by Alan3354, AnlytcPhil:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! sec theta/tan theta + (1 - tan theta)/sec theta = (1+tan theta)/(sec theta)(tan theta)
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sec/tan + (1 - tan)/sec = (1 + tan)/(sec*tan) (I'll assume the last den is sec*tan)
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Multiply thru by sec
sec^2/tan + 1 - tan = (1 + tan)/tan = cot + 1
sec^2/tan + 1 - tan = cot + 1
Multiply by tan
sec^2 + tan = 1 + tan
Not an identity.
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You need to make it clear, add parentheses to eliminate guessing at what the terms are.
+ =
The LCD on the left side is sec(θ)tan(θ)
+ =
+ =
=
[Next use the identity 1 + tanē(θ) = secē(θ) which is equivalent
to secē(θ) - tanē(θ) = 1, and you have:]
Edwin
