Respuesta :

In the first quadrant, tangent, sine and cosine function are all positive.

So tan(90-A) = sin(90-A) / cos(90-A) = cos(A) / sin(A) = 1/tan(A)

Answer is d

The value of tan(90-A) is tan A

Trigonometry identity

Given the expression

tan x = sinx/cos x

The expression tan(90-A) will be written as:

tan(90-A)  = sin(90-A)/cos(90-A)

Recall that sin (90-A) = sinA
cos(90-A) = cosA

Therefore:

tan(90 - A) = sinA/cosA = tanA

Hence the value of tan(90-A) is tan A
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