# How do you solve #tanxsinx-tanx=0# in the interval [0,360]?

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May 23, 2018

#### Answer:

0, 90, 180, 360

#### Explanation:

f(x) = tan x.sin x - tan x = 0

f(x) = tan x (sin x - 1) = 0

Either factor should be zero

a. tan x = 0

Unit circle --> x = 0,

b. sin x - 1 = 0 --> sin x = 1

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