Question

tan 5X= -1
Write principal solutions ​

Answer 1

Given:

tan 5x = -1

To find:

Write principal solutions

Solution:

From the given information, we have the data as follows.

tan 5x = -1

apply "tan^-1" on both the sides.

tan^-1 (tan 5x) = tan^-1 (-1)

5x = tan^-1 (-1)

x = 1/5 [tan^-1 (-1)]

x = 1/5 [3π/4 + πn]

x = 3π/20 + πn/5

Therefore, the principal solution of tan 5x = -1 is 3π/20 + πn/5

Answer 2

Therefore, the principal solution of tan 5x = -1 is 3π/20 + πn/5.

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