Question
If 
,then
Hint:
In this question, we have given trigonometry function. Which is
and 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.
Related Questions to study
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] is :
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,then
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be such that 
and 
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cannot satisfy
In this question we have to find the the which region ϕ cannot satisfy. In this question more than one option is correct. Here firstly solve the given equation. Remember that, , tan x + cot x = 
.
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In this question we have to find the the which region ϕ cannot satisfy. In this question more than one option is correct. Here firstly solve the given equation. Remember that, , tan x + cot x = .
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