SOLUTION: How would one simplify " (tanθ / cscθ) + (sinθ / tanθ) " to only containing sin and cos? Thank you

Algebra ->  Trigonometry-basics -> SOLUTION: How would one simplify " (tanθ / cscθ) + (sinθ / tanθ) " to only containing sin and cos? Thank you      Log On


   

Question 1119780: How would one simplify " (tanθ / cscθ) + (sinθ / tanθ) " to only containing sin and cos?
Thank you
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the definitions of those functions, substitute, and then simplify.














%28sin%28x%29%2Fcos%28x%29%29%2Asin%28x%29%2Bsin%28x%29%28cos%28x%29%2Fsin%28x%29%29

highlight_green%28sin%5E2%28x%29%2Fcos%28x%29%2Bcos%28x%29%29
OR you could continue:

sin%5E2%28x%29%2Fcos%28x%29%2Bcos%5E2%28x%29%2Fcos%28x%29

%28sin%5E2%28x%29%2Bcos%5E2%28x%29%29%2Fcos%28x%29

highlight_green%281%2Fcos%28x%29%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
sub sin/cos for tan
1/sin for csc