The sine of an angle is #4/5#. What is the tangent of the angle?

1 Answer
May 14, 2017

Answer:

The tangent of the angle could be #4/3# or #-4/3#.

Explanation:

There are two possibilities, depending on what quadrant the angle A is in.

We have #sin(A) = 4/5# so we could make a triangle with #opp = 4# and #hyp = 5#.

Solving #4^2 + x^2 = 5^2# we get #x = adj = +-3#.

This means that #tan(A) = (opp)/(adj) = +-4/3#.

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