Any trigonometric equation of the form cosθ=a∀a∈(−1,1), will have principal solution(s).
A
4
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B
1
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C
2
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Solution
The correct option is C2 Any trigonometric equation cosθ=a∀a∈[−1,1].
Case 1: a≥0⇒0≤cosθ≤1
Case 2: a<0⇒−1≤cosθ<0
Now, as we can see from both the cases, cosθ=a∀a∈[−1,1] will have two solution for θ∈[0,2π)
Thus, there will be 2 principal solutions.