Question

Express tan O as a fraction in simplest terms. * . N 5 10 0 M​

Answer 1

$tan (O) = \frac{10}{5} = 2$

(See image of the referred problem in the attachment below.)

• From the image, we are given a right triangle having:

$MN = 10\\NO = 5$

Reference angle = $\angle O = \theta$

Recall: SOHCAHTOA

• Using the trigonometry ratio formula,

$tan(O) = \frac{Opposite}{Adjacent} (TOA)$

Where,

$Opposite = MN = 10\\Adjacent = NO = 5$

• Substitute:

$tan(O) = \frac{10}{5} \\tan(O) = 2$

Therefore the tan O is expressed as 2.

Learn more about trigonometry ratio here:

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