Find the value of (Cos30o - Sin30o)/(Sin60o + cos60o).
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 2 - √(3)
|
Understanding |
Application |
|
cos 30° = √3/2 sin 30°= 1/2 sin 60°= √3/2 cos 60°= 1/2 Rationalize the denominator |
(cos 30° - sin 30°)/(sin 60° + cos 60°) =(√3/2 - 1/2)/(√3/2 + 1/2) = (√3-1)/(√3+1) =(√3-1)/(√3+1) × (√3-1)/(√3-1) =(√3-1)2/((√3)2-12 ) =(3+1-2√3)/(3-1) =(4-2√3)/2 =2-√3 |