SOLUTION: verify that the equations are identitites: sinx + tanx = tanx (1+cosx)

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Question 687087: verify that the equations are identitites:
sinx + tanx = tanx (1+cosx)
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
verify that the equations are identitites:
sinx + tanx = tanx (1+cosx)
There is a trig identity you have to know to prove this.
highlight%28tan%28x%29=%28sin%28x%29%29%2F%28cos%28x%29%29%29
The rule of thumb is to try to use identities and properties in math to make the more complicated side look like the less complicated side....so attack the right side of the equation.
use the identity to replace tan(x)

Distribute

The cos(x) cancels
sin%28x%29%2Btan%28x%29=%28sin%28x%29%29%2F%28cos%28x%29%29%2Bsin%28x%29
Then use the identity again only we are replacing sin(x)/cos(x).
sin%28x%29%2Btan%28x%29=highlight%28tan%28x%29%29%2Bsin%28x%29
Addition is commutative, so...
sin%28x%29%2Btan%28x%29=sin%28x%29%2Btan%28x%29
Happy Calculating!!!