Tan² x sec² x+ 2sec² x-tan² x =2

x = kπ

Step-by-step explanation:

tan²x sec²x + 2 sec²x − tan²x = 2

Use Pythagorean identity.

tan²x (1 + tan²x) + 2 (1 + tan²x) − tan²x = 2

Simplify.

tan²x + tan⁴x + 2 + 2 tan²x − tan²x = 2

tan⁴x + 2 tan²x = 0

tan²x (tan²x + 2) = 0

tan²x can't be negative, so the second factor cannot be 0.

tan²x = 0

tan x = 0

x = kπ

step-by-step explanation:

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about the problem:

srry i'm not done ! i'll