Question

tan^2(theta+ π/3 ) = 0, find general solution.​

Answer 1

Step-by-step explanation:

tan ² (pie/3)=0

hope this may help u

Answer 2

Answer:

a = 300°

Step-by-step explanation:

Actually I don't have a keyboard key to type theta so, I am using the variable "a" instead of the Greek letter theta.

tan²(a + π/3) = 0

| ∵ tan(A + B) = (tan A + tan B)/(1 - tan A.tan B)

| =>tan²(A + B) = [(tan A+tan B)/(1 - tan A.tan B)]²

|

|...........=> [(tan a+tan π/3)/(1 - tan a.tan π/3)]² = 0

=> [(tan a + √3)/(1 - √3 tan a)]² = 0

=> (tan a + √3)²/(1 - √3 tan a)² = 0

=> (tan a + √3)² = 0 {Assuming, (1 - √3tan a)² ≠ 0)

=> tan a = - √3 => tan a = tan 300°

=> a = 300°