1、
左边=[1-(1-2sin²10)]/(sin10sin20)
=2sin²10/(sin10sin20)
=2sin10/sin20
=2sin10/2sin10cos10
=1/cos10
所以不等于根号2
2、
y=2(1+cos2x)/2+sin2x
=sin2x+cos2x+1
=√2(√2/2*sin2x+√2/2cos2x)+1
=√2(sin2xcosπ/4+cos2xsinπ/4)+1
=√2sin(2x+π/4)+1
-1
1、
左边=[1-(1-2sin²10)]/(sin10sin20)
=2sin²10/(sin10sin20)
=2sin10/sin20
=2sin10/2sin10cos10
=1/cos10
所以不等于根号2
2、
y=2(1+cos2x)/2+sin2x
=sin2x+cos2x+1
=√2(√2/2*sin2x+√2/2cos2x)+1
=√2(sin2xcosπ/4+cos2xsinπ/4)+1
=√2sin(2x+π/4)+1
-1