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Andre45 [30]
3 years ago
5

If the point (3/5,4/5) corresponds to an angle θ in the unit circle, what is tan θ ?

Mathematics
2 answers:
serious [3.7K]3 years ago
5 0
A point M on the unit circle could be represented by (x , y), which coordinates are nothing but cos Ф (for x) & sin Ф (for y, hence:

tan Ф = sin Ф / cos Ф ==> tan Ф (4/5) / (3/5) ==> tan Ф =(4/3).

Now let's calculate the angle: tan⁻¹Ф ==> tan⁻¹(4/3) ≈43°
Savatey [412]3 years ago
4 0

Answer:

tan{\theta}=\frac{4}{3}

Step-by-step explanation:

A point M on the unit circle is represented as (x,y) for which the coordinates are cos{\theta} for x and sin{\theta} for y.

Now, we know that in unit circle tan{\theta} is written as:

tan{\theta}=\frac{sin{\theta}}{cos{\theta}}

=\frac{\frac{4}{5}}{\frac{3}{5}}=\frac{4}{3}

Thus,the value of tan{\theta}=\frac{4}{3}.

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