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Q.

Observe the following statements 
Assertion (A) : The general solution for cosθ=32 is θ=2nπ±cos-1(3/2)
Reason (R) : The general solution for cosθ=k is θ=2nπ±α, nZ where  α is principal value, α[0,π] and |k| < 1.

Then the true statement among the following is

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a

A is false, R is true

b

A is true, R is true, RA

c

A is true, R is false

d

A is false, R is false

answer is B.

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Detailed Solution

A : cosθ=32  not possible R : cosθ=k=cos α              θ=2±α,  α[0, π] A is false, R is true.

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