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
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
Learn more on trigonometry here: https://brainly.com/question/24349828