Question

lf cos A =12/13, the find sin A and tan A (A<90°).
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Answer 1

Answer:

Step-by-step explanation:

Given,

cos A = 12/13

Using Pythagoras theorem,

cos = adjacent side / hypotenuse

(hypotenuse)^2 = (opposite side)^2 + (adjective side)^2

13^2 = (opposite side)^2 + 12^2

169 = (opposite side)^2 + 144

(opposite side)^2 = 169-144

opposite side = √25

opposite side = 5

sin A = opposite Side / hypotenuse

sin A = 5/13

tan A = opposite Side / adjacent Side

tan A = 5/12