Question

If tan o = 5/12 and o is acute , find the values of sin O and cos O.
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Answer 1

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Answer 2

Step-by-step explanation:

tan (o) = 5/12 = P/B

The value of hypotenuse(h), for this we apply the Pythagoras theorem

⇒ h(2) = p(2) + b(2)

⇒ h(2) = 5(2)+ 12(2)

⇒ h(2) = 25 + 144

⇒ h(2) = 169

⇒ h = √169

⇒ h = 13

so,

sin (o) = 5/13

cos (o) = 12/13