# 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

Algebra ->  Algebra  -> Trigonometry-basics -> 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      Log On

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 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(30993)   (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) ------------- sec/tan + (1 - tan)/sec = (1 + tan)/(sec*tan) (I'll assume the last den is sec*tan) ----------- 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. ==================== You need to make it clear, add parentheses to eliminate guessing at what the terms are. Answer by AnlytcPhil(1276)   (Show Source): You can put this solution on YOUR website!``` + = 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```