Question : Find the value of the given expression.
2 + cos 49°cos 41° – sin 49° sin 41°
Option 1: 2
Option 2: –1
Option 3: 0
Option 4: 1
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Correct Answer: 2
Solution :
2 + cos 49°cos 41° – sin 49° sin 41°
= 2 + cos 49° cos(90° – 49°) – sin 49° sin(90° – 49°)
= 2 + cos 49° sin 49° – sin 49° cos 49°
= 2
Hence, the correct answer is 2.
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