Question

If x=2sin 20 and
y=2cos20+1, then find x+y
2
4
3
5​

Answer 1

Answer:

2√2cos 25°+1

Step-by-step explanation:

2 sin 20 + 2 cos 20 + 1

=2( sin20 +cos 20) +1

= 2 (sin 20 + sin 70) +1

= 2 {2 sin [(70 +20)/2]. cos[(70-20)/2]} + 1

= 4 sin 45°. cos 25° + 1

= (4/√2). cos 25° + 1

= 2√2 cos 25° +1

HOPE IT HELPED.... ;)