Question
Download Solution PDFFind the value of the given expression.
2 + cos 49° cos 41° − sin 49° sin 41°
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
2 + cos 49° cos 41° − sin 49° sin 41°
Concept used:
If A +B = 90º, then Sin(90 - A) = Cos B and vice versa.
Calculation
2 + cos 49° cos 41° − sin 49° sin 41°
⇒ 2 + cos(90 – 41) cos41 – sin(90 – 41).sin41
⇒ 2 + sin41.cos41 – cos41.sin41
⇒ 2 + 0
⇒ 2
The value of the expression is 2.
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