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Trignometry Test - 2

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Trignometry Test - 2
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  • Question 1
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    If cos4 θ + α, sin4 θ + α are the roots of the equation x2 + b (2x + 1) = 0 and cos2 θ + β, sin2 θ + β are the roots of the equation x2 + 4x + 2 = 0 then b is equal to

    Solution

    2a = [sin x]2 + sin x 
    ⇒ sin x ∈ I (as a ∈ I)
    ⇒ [sin x] = sin x 
    ⇒ 2a = sin x(sin x + 1)
    Also sin x can take the values -1,0 and 1 only
    ⇒ a can take two values 0 and 1

     

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