Question

tan 20 ^ 0 + tan 40 ^ 0 + sqrt(3) * tan 20 ^ 0 * tan 40 ^ 0 =​

Answer 1

Answer:

Solution:

60° = 40° + 20°

Taking “tan” on both sides,

tan 60° = tan(40° + 20°)

√3 = (tan 40° + tan 20°)/(1 – tan 40° tan 20°)

√3(1 – tan 40° tan 20°) = tan 40° + tan 20°

√3 – √3 tan 40° tan 20° = tan 40° + tan 20°

Therefore, tan 40° + tan 20° + √3 tan 40° tan 20° = √3

Answer 2

refer to the attachment