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MATH / In right triangle ABC, shown below, cosB=(6)/(10). What is tanC?

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

In right triangle ABCABC, shown below, cosB=610\cos{B}=\frac{6}{10}. What is tanC\tan{C}? [asy] draw((0,0)--(10,0)--(3.6,4.8)--cycle,black+linewidth(1)); draw(rightanglemark((0,0),(3.6,4.8),(10,0),20),black+linewidth(1)); label("CC",(10,0),E); label("AA",(3.6,4.8),N); label("BB",(0,0),W); label("10",(0,0)--(10,0),S); [/asy]
Plain-text mathematical notation (without MathML)
In right triangle ABC, shown below, cosB=(6)/(10).  What is tanC?

[asy]
draw((0,0)--(10,0)--(3.6,4.8)--cycle,black+linewidth(1));
draw(rightanglemark((0,0),(3.6,4.8),(10,0),20),black+linewidth(1));
label("C",(10,0),E);
label("A",(3.6,4.8),N);
label("B",(0,0),W);
label("10",(0,0)--(10,0),S);
[/asy]
Original LaTeX notation
In right triangle $ABC$, shown below, $\cos{B}=\frac{6}{10}$.  What is $\tan{C}$?

[asy]
draw((0,0)--(10,0)--(3.6,4.8)--cycle,black+linewidth(1));
draw(rightanglemark((0,0),(3.6,4.8),(10,0),20),black+linewidth(1));
label("$C$",(10,0),E);
label("$A$",(3.6,4.8),N);
label("$B$",(0,0),W);
label("10",(0,0)--(10,0),S);
[/asy]

level

Level 2

type

Geometry

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Source and history

task_id
8bb8b3c0-ed6b-5a1e-a883-4c53b1de97e9
task_key
geometry--test--8bb8b3c0-ed6b-5a1e-a883-4c53b1de97e9
task_revision_id
1
config / split
geometry / test

Official source

initial import