Question

tan 85°+tan 40°÷
1-tan 85 tan 40°​

Answer 1

Answer:

Step-by-step explanation: by using identiti. tan(a-b) = tana-tanb/1+tana× tanb. tan(85-40)= tan85-tan40/1+tan85.tan40.

Answer 2

Answer:

$\frac{tan 85° + tan 40° }{ 1- (tan 85° tan 40°)}$ is tan (85° +40°) = tan 125°

[tan125° = - 1.42814801]

Step-by-step explanation:

Given

$\frac{tan 85° + tan 40° }{ 1- (tan 85° tan 40°)}$

According to the trigonometric identity,

$\frac{tan A + tan B }{ 1- (tan A tan B)} = tan (A+B)$

Here, A = 85°, B = 40°

So,

$\frac{tan 85° + tan 40° }{ 1- (tan 85° tan 40°)}= tan (85°+40°) = tan 125°$

So, tan 125° is the answer

[tan 125° = - 1.42814801]