Question

# If ,then

Hint:

### In this question, we have given trigonometry function. Which isand belongs to [ 0, 2 π]. We have to find where θ is belongs. Solve the function and find the answer.

## The correct answer is:

### Here , we have to find where θ lies in this equation.

Firstly, we have given

We know that,

= 1 + 2 sin θ cos θ

So, we can write, in eq (1)

sin θ cos θ - |sin θ| cos θ = 0

cos θ ( sin θ - | sin θ| ) = 0

hence, sin θ = | sin θ |

which is always true for sinx ≥ 0 otherwise it is true for x=0,,,2π

Therefore, since we also need x≠, for tanx and x≠0,2π for cotx all the solutions are given by x∈(0,π) with x≠and x≠.

The correct answer is θ ϵ (0 ,π)- { ,}

In this question, we have to find the where is θ lies. Here, always true for sinx ≥ 0 otherwise it is true for x=0,,,2π and since we also need x≠, for tanx and x≠0,2π for cotx all the solutions.

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