SOLUTION: (1+cos°)÷sin°= Show solution without calculator (1-cos°)÷(sin°-1) (1+cos°)÷(1+sin°) Sin°÷(1-cos°) (1+cos°)÷(1-sin°)

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: (1+cos°)÷sin°= Show solution without calculator (1-cos°)÷(sin°-1) (1+cos°)÷(1+sin°) Sin°÷(1-cos°) (1+cos°)÷(1-sin°)      Log On


   

Question 1133874: (1+cos°)÷sin°=
Show solution without calculator
(1-cos°)÷(sin°-1)
(1+cos°)÷(1+sin°)
Sin°÷(1-cos°)
(1+cos°)÷(1-sin°)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2Bcos%28x%29%29%2Fsin%28x%29
since
1%2Bcos%28x%29=%281-cos+%5E2%28x%29%29%2F%281-cos+%28x%29%29, using the rule: a-b=+%28%28a-b+%29+%28a%2Bb+%29%29%2F%28a%2Bb%29=%28a%5E2-b%5E2%29%2F%28a%2Bb%29, we have

=%28%281-cos+%5E2%28x%29%29%2F%281-cos+%28x%29%29%29%2Fsin%28x%29
Use the following identity: 1-cos%5E2%28x%29=+sin+%5E2%28x%29
=%28sin+%5E2+%28x+%29%2F%281-cos+%28x%29%29%29%2Fsin%28x%29

=%28sin+%5Ecross%282%29+%28x+%29%2F%281-cos+%28x%29%29%29%2Fcross%28sin%28x%29%291

=sin+%28x+%29%2F%281-cos+%28x%29%29


answer:sin%28x%29÷%281-cos+%28x%29%29