# How to find all solutions to the following equations in the interval 0 ≤ θ < 2π?

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Find all solutions to the following equations in the interval 0 ≤ θ < 2π. Give the exact value of the solution(s) where possible. If not possible, round your answer to

4 decimal places.

tan θ − 2 cos θ sin θ = 0

Find all solutions to the following equations in the interval 0 ≤ θ < 2π. Give the exact value of the solution(s) where possible. If not possible, round your answer to

4 decimal places.

tan θ − 2 cos θ sin θ = 0

##### 1 Answer

#### Explanation:

tan t - 2sin t.cos t = 0

Condition

Use trig identity:

Either factor should be zero.

a.

b.

1.

For

2.

For