contestada

For a right triangle ABC, you are told that cos A= x and sin A= y. Which option below gives an expression that is
equivalent to tan A?

Respuesta :

Answer:

tan A = [tex]\frac{y}{x}[/tex]

Step-by-step explanation:

Using the trigonometric identity

tan A = [tex]\frac{sinA}{cosA}[/tex] = [tex]\frac{y}{x}[/tex]

Jacobswan

Answer:

So the answer is B - Y/X

Step-by-step explanation:

Draw a right triangle ABC so that m∠C = 90°

The lengths are:

Side a is opposite ∠A,

Side b is opposite ∠B,

Side c (the hypotenuse) is opposite ∠C

Because cos A = x, therefore

x = b/c  => b = cx                     (1)

Because sin A = y, therefore

y = a/c  => a = cy                     (2)

By definition,

tan A = a/b

         = (cy)/(cx)

         = y/x

Answer:  b. y/x

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