If sin theta =4/5 and theta is in quadrant 2, the value of tan theta is?

The value of tan theta is 4/3

Given the following parameters

Get the adjacent side:

adj^2 = 5^2 - 4^2

adj^2 = 25 - 16

adj = √9

adj = 3

Get the measure of tan theta

tan theta = opposite /adjacent

tan theta = 4/3

Hence the value of tan theta is 4/3

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Since

and is in quadrant 2, we know , so as well.

From the Pythagorean identity we have

Then

answer: the anser is 3

step-by-step explanation:

c- 2o is equal to 9