SOLUTION: Whats the valu of SecA When 3 CotA = 4

Question 162753: Whats the valu of SecA When 3 CotA = 4
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
3 cotangent of A = 4
cotangent of A = 4/3
since tangent of A is 1/cotangent of A, then
tangent of A = 3/4
angle A = 36.86989765 degrees
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secant of A is 1 / cosine of A
cosine of A = cosine of (36.86989765 degrees) = .8
secant of A is 1/cosine of a = 1/.8 = 1.25
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answer is 1.25
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additional information
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secant of A = hypotenuse / adjacent
since tangent A = 3/4, then
opposite = 3
adjacent = 4
hypotenuse = secant of A * adjacent = 1.25 * 4 = 5
triangle is a 3:4:5 triangle.
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cosecant of A = hypotenuse / opposite = 1/ sine of A
cotangent of A = adjacent / opposite = 1 / tangent of a

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