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In ABC,if sin A=4/5 and tan A =4/3,then what is cosA?

Answer:

Cos A = 3/5

Step-by-step explanation:

Step 1: define the functions

Sine A= Opp/Hyp

sin A=4/5

I.e. Opp = 4,; Hyp = 5

tan A =4/3

Tangent A= Opp/Adj

I.e. Opp = 4,; Adj= 3

Step 2. Define Cosine and solve for Cos A.

Cosine A = Adj/Hyp

From the Above substitute the given sides

I.e. adj= 3; Hyp = 5

Therefore

Cos A = 3/5