Question

How to calculate approximate value of tan44° ?
Someone plzzz do it immediately!!!

Answer 1

Answer:

≈0.965

Explanation:

The derivative of tanθ is sec2θ, so that to a first order in δθ we have

tan(θ−δθ)=tan(θ)−sec2θ×δθ

To estimate tan44∘ we must use θ=π4 and δθ=π180 (remember that in calculus angles must be measured in radians) so that

tan44∘≈tan(π4)−sec2(π4)×π180=1−2×π180≈0.965