SOLUTION: Which of the following is equivalen to sin(data)+cot(data)cos(data) F)2sin(data) G1/sin(data) H)cos^2(data) J)sin(data)+cos(data)/sin^2(data) The key is G

Question 395358: Which of the following is equivalen to sin(data)+cot(data)cos(data)
F)2sin(data)
G1/sin(data)
H)cos^2(data)
J)sin(data)+cos(data)/sin^2(data)
The key is G

Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Recall that cot(x)=1/tan(x) and that tan(x)=sin(x)/cos(x)

So this means that cot(x)=cos(x)/sin(x)

So

sin(x)+cot(x)cos(x) = sin(x)+(cos(x)/sin(x))cos(x)

sin(x)+cot(x)cos(x) = sin(x)+cos^2(x)/sin(x)

sin(x)+cot(x)cos(x) = sin^2(x)/sin(x)+cos^2(x)/sin(x)

sin(x)+cot(x)cos(x) = (sin^2(x)+cos^2(x))/sin(x)

sin(x)+cot(x)cos(x) = 1/sin(x)

So the answer is choice G

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

since

......common denominator

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