the value of tan 42 tan46 is
Answers
Answer:
its value is 1
Step-by-step explanation:
tan42 × tan46
tan42 × tan(90 - 42)
=tan42 × cot42
= tan42 × 1/tan42
= 1
Step-by-step explanation:
would first note that 46 degrees is close to 45 degrees.
The tan(45 degrees) = 1 since it’s a 45 degree triangle and the opposite over the adjacent is going to give you 1.
46 degrees is slightly above 45 degrees, so the opposite side is going to be a bit bigger than the adjacent side.
Therefore it will be a bit over 1.
From there I’ll think about how much different it will be than tangent of 45 degrees.
Since you’re given that 1 degree 0.01745 radians,
I think about the opposite side getting a bit bigger and the adjacent side of the triangle (for the 46 degree right triangle) getting a bit smaller (equal amounts).
I call the change ∆. If we call the opposite y and the adjacent x, then the slightly changed sides would change by this amount ∆. And because tanx ~ x for small angles, I’m thinking about the change in the angle 46–45 = 1 degree as the angle, which is fairly small.
So for an approximation, something that I came up with that seems to work…..
tan 46 degrees