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NDA Math Trigonometric Ratios of Angles and Equations

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For the next three(3) items that follow :
Consider the function
f(θ)=4(sin2θ+cos4θ)

[NDA I 2016]

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Question : 61

Total: 100

Consider the following statements :
1. f(θ)=2 has no solution
2. f(θ)=

has a solution
Which of the above statements is/are correct

1 only
2 only
Both 1 and 2
Neither 1 nor 2

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