SOLUTION: Verify the identity, showing your steps (tanx+cosx)/(sinx) = secx+cotx

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Question 1130896: Verify the identity, showing your steps
(tanx+cosx)/(sinx) = secx+cotx
Found 3 solutions by MathLover1, MathTherapy, Alan3354:
Answer by MathLover1(20850) About Me  (Show Source):
Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!

Verify the identity, showing your steps
(tanx+cosx)/(sinx) = secx+cotx


We now focus on just the left-side of equation in order to prove it equal to the right-side

matrix%281%2C3%2C+sin+%28x%29%2Fcos+%28x%29%2C+%22%2B%22%2C+cos+%28x%29%29%2Fsin+%28x%29%29 ------------ Substituting matrix%281%2C3%2C+sin+%28x%29%2Fcos+%28x%29%2C+for%2C+tan+%28x%29%29

 --- Making the expression less complex







matrix%281%2C3%2C+sin+%28x%29%2C+%22%2B%22%2C+cos%5E2+%28x%29%29%2Fcos+%28x%29sin+%28x%29

 ------- Separating expressions

 ---- Canceling expressions

 ------- Replacing  on LEFT-SIDE

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Verify the identity, showing your steps
(tanx+cosx)/(sinx) = secx+cotx
================
Multiply by sin
tan + cos = sin/cos + cos
tan + cos = tan + cos
QED
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It's not a Master's thesis.
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I'm still waiting for an example of working only 1 side makes a difference.
Been waiting over 50 years.