sin^2 20°+cos^2 50°+sin30°sin70°
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sin^220°+cos^250°+sin30°sin70°sin^220°+cos^250°+sin30°sin70°sin^220°+cos^250°+sin30°sin70°=sin^220°+
sin^2 20°+cos^2 50°+sin30°sin70°
sin^2 20°+cos^2 50°+sin30°sin70°
sin^2 20°+cos^2 50°+sin30°sin70°
=sin^2 20°+cos^2 50°+sin(50°-20°)-sin(50°+20°)
用两角和公式
=sin^2 20°+cos^2 50°+(sin50°cos20°-sin20°cos50°)(sin50°cos20°+sin20°cos50°)
=sin^2 50°cos^2 20°-sin^2 20°cos^2 50°+sin^2 20°+cos^2 50°
用降幂公式
=[(1-cos100°)/2 *(1+cos40°)/2]-[(1-cos40°)/2 *(1+cos100°)/2]+(1-cos40°)/2 +(1-cos100°)/2
提出1/4 并整理
=1/4 *[(1-cos100°+cos40°-cos100°cos40°)-(1+cos100°-cos40°-cos100°cos40°)+2+2cos100°+2-2cos40°]
=1/4*4=1
sin^2(20)-sin^2(25)sin(20)+cos^2(50)+cos^2(25)sin20
sin(10°)+sin(20°)cos(50°)求值
sin^2 30°+cos()=1
sin^2(20)+cos^2(50)+sin20sin50
3-cos 20°/2-sin ^2 80°等于
(cos^2 10°-cos^2 80°)+sin^2 20°
求值:3/(sin^2 20°)-1/(cos^2 20°)+64sin^2 20°
sin^2(20°)+cos^(50°)+sin(20°)cos(50°)=?,不要用三个三角函数公式sina+sinb=2sin((a+b)/2)cos((a-b)/2 (cosa)^2 =1/2+1/2*cos2acos(a)cos(b)=1/2*[cos(a+b)+cos(a-b)]这个不能用
利用和差角公式化简 (2)sin(π/3+α)+sin(π/3-α)(2)sin(π/3+α)+sin(π/3-α)(3)cos(π/4+α)-cos(π/4-α)(4)cos(60°+α)+cos(60°-α)(5)sin(α-β)cosβ+cos(α-β)sinβ(6)cos(α+β)cosβ+sin(α+β)sinβ
化简 (1+sin a+ cos a)(sin a/2 - cos a/2) / √(2+2cos a)(180°
sin^(2)20°+cos^(2)50°+sin20°cos50°
sin^2 20°+cos^2 50°+sin30°sin70°
高中三角函数求值sin^2(20°)+cos^2(50°)+sin20°cos50°=?
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(cos^2)15°+(sin^2)15°等于多少
sin^2 80°为什么等于 cos^2 10°?
Sin^2 45°+cos^2 45°=?
计算cos^2*105°-sin^2*105°