6. (1 point) Given that sinTheta =(-3)/(8) and the terminal arm of the angle Theta is located in quadrant 4, determine exact tan ratio of the angle Theta a. (3)/(sqrt (55)) b. (8)/(sqrt (55)) c. (-3)/(sqrt (55)) d. (8)/(sqrt (73))

Question

Answer 1

## Step 1: Finding the cosine value### Since

and

is in quadrant 4, we know that

, where

and

. In quadrant 4,

is positive. We can use the Pythagorean theorem (

) to find

.

. Thus,

.## Step 2: Calculating the tangent value### Now, we can find

using the identity

. Substituting the values, we get

.

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