Find the value of tan 40°?

Answer:

We can write tan 40o = tan (30 + 10)

we know the formula

tan (A + B) = (tan A + tan B)/ (1 – tan A tan B)

The tangent formula

Tan θ = Opposite side/Adjacent side

Tan Values

tan 0° = 0/1 = 0

tan 30° = [(√1/4)/√(3/4)] = 1/√3

tan 45° = 1

tan 60° = [(√3/2)/(½)] = √3

tan 90° = 1/0 = ∞

tan (30 + 10) = (tan 30 + tan 10)/(1 – tan 30 tan 10)

Substitute the approximate value

tan 40° = (0.57735 + 0.176326) /( 1-0.1018)

tan 40° = 0.753676/0.8982

tan 40° = 0.839095

Leave a Comment

Your email address will not be published. Required fields are marked *

BOOK

Free Class