SOLUTION: if sin 0 = 4/5 and tan 0= 4/3,what is the value of cos 0?

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Question 235501: if sin 0 = 4/5 and tan 0= 4/3,what is the value of cos 0?
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if sin 0 = 4/5 and tan 0= 4/3,what is the value of cos 0?
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If sin and tan are both positive theta is in the 1st quadrant.
If sin(theta) = 4/5, y = 4 and r = 5
Then x = sqrt(4^2+5^2) = sqrt(41) =
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So, cos(theta) = x/r = sqrt(41)/5
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Cheers,
Stan H.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Therefore:



so, just divide by , which is to say multiply by

And by the way, is the larger acute angle in a 3-4-5 right triangle.

Stanbon's analysis below is flawed in that he should have said

John