SOLUTION: prove that tanx(cotx+tanx)=sec^2x i have no idea how to do this please help. thank you

Algebra ->  Trigonometry-basics -> SOLUTION: prove that tanx(cotx+tanx)=sec^2x i have no idea how to do this please help. thank you      Log On


   

Question 289502: prove that tanx(cotx+tanx)=sec^2x i have no idea how to do this please help. thank you
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the identities.
+tan%28x%29=sin%28x%29%2Fcos%28x%29+
cot%28x%29=cos%28x%29%2Fsin%28x%29
sec%28x%29=1%2Fcos%28x%29
sec%28x%29%5E2=1%2Fcos%28x%29%5E2
sin%28x%29%5E2%2Bcos%28x%29%5E2=1
.
.
.
tan%28x%29%28cot%28x%29%2Btan%28x%29%29=tan%28x%29cot%28x%29%2Btan%28x%29%5E2
tan%28x%29%28cot%28x%29%2Btan%28x%29%29=1%2Bsin%28x%29%5E2%2Fcos%28x%29%5E2


tan%28x%29%28cot%28x%29%2Btan%28x%29%29=%281%29%2Fcos%28x%29%5E2
tan%28x%29%28cot%28x%29%2Btan%28x%29%29=sec%28x%29%5E2