Question

Given that csc (O) = 5/4 and 0 is in Quadrant II what is tan(0) ? Write your answer in exact form. Do not round.

a) −4/3
b) −3/4
c) −5/3
d) −3/5

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Answer 1

The value of tan(θ) is 5/4.

Step-by-step explanation:

To find the value of tan(θ), we can use the reciprocal identity of tangent:

tan(θ) = 1/cot(θ)

Since cot(θ) is the reciprocal of csc(θ), we can substitute the given value of csc(θ) into the formula:

tan(θ) = 1/(1/csc(θ))

tan(θ) = csc(θ)

Therefore, tan(θ) = csc(θ) = 5/4