Question

If f (θ) = tan θ, find the differential df when θ = π/3 and dθ = 0.03.

Answer 1

\[\Delta f = \tan(\theta+\Delta\theta) - \tan(\theta)\]

Answer 2

tan(0.03+delta0.03)-tan(0.03)????

Answer 3

\[\tan(\frac\pi3 + 0.03) - \tan(\frac\pi3)\]

Answer 4

0.12

Answer 5

0.1266, which rounds to 0.13 but essentially right

Answer 6

okay awesome! Thanks!