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The number of solution the equation cos(...

The number of solution the equation `cos(theta)cos(pitheta)=1` has 0 (b) 2 (c) 4 (d) 2

A

0

B

2

C

1

D

infinite

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The correct Answer is:
To solve the equation \( \cos(\theta) \cos(\pi \theta) = 1 \) and find the number of solutions, we can follow these steps: ### Step 1: Analyze the equation The equation \( \cos(\theta) \cos(\pi \theta) = 1 \) implies that both \( \cos(\theta) \) and \( \cos(\pi \theta) \) must equal 1, since the product of two cosines can only equal 1 when both are 1.
To solve the equation \( \cos(\theta) \cos(\pi \theta) = 1 \) and find the number of solutions, we can follow these steps: ### Step 1: Analyze the equation The equation \( \cos(\theta) \cos(\pi \theta) = 1 \) implies that both \( \cos(\theta) \) and \( \cos(\pi \theta) \) must equal 1, since the product of two cosines can only equal 1 when both are 1.
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