Find the value of the given expression.
2 + cos 49° cos 41° - sin 49° sin 41°
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 2.
We know that,
A + B = 90 then, sin(90 - A) = cos B
Now, according to the question
⇒ 2 + cos 49° cos 41° - sin 49° sin 41°
⇒ 2 + cos(90 - 41) cos 41 - sin(90 - 41) sin 41
⇒ 2 + sin 41 × cos 41 - cos 41 × sin 41 = 2