tan^{2}\frac{x}{2}=\frac{1-cosx}{1+cosx} (tan^{2}x=\frac{1-cos2x}{1+cos2x}) 倍角公式 sin2x=2sinxcosx cos2x=cos^{2}x-sin^{2}x=1-2sin^{2}x=2cos^{2}x-1 tan2x=\frac{2tanx}{1-tan^{2}x} tan\frac{x}{2}=\frac{sinx}{1+cosx}=\frac{1-cosx}{sinx}=...
sin(π-α)=cosα, cos(π-α)=sinα, tan(π-α)=cotα, cot(π-α)=tanα. 4.平方关系 sin^2(α)+cos^2(α)=1 tan^2(α)+1=sec^2(α) cot^2(α)+1=csc^2(α) 5.积的关系 sinα=tanα·cosα cosα=cotα·sinα tan...
锐角三角函数是以锐角为自变量,以比值为函数值的函数。我们把锐角∠A的正弦、余弦、正切和余切都叫做∠A的锐角函数。相关概念 锐角角A的正弦(sin),余弦(cos)和正切(tan),余切(cot)以及正割(sec),余割(csc)都叫做角A的锐角三角函数。初中学习的锐角三角函数值的定义方法是在直角三角形中定义的,所以...
"All Sin Tan Cos rule" is also known as ASTC formula in trigonometry. ASTC formla has been explained clearly in the figure given below. More clearly, In the first quadrant (0° to 90°), all trigonometric ratios are positive. In the second quadrant (90° to 180°), sin and csc are...
公式:1、基本性质:tanx=sinx/cosx sinx^x+cos^x=1 2、奇偶性:sin(-x)=-sinx cos(-x)=cosx tan(-x)=-tanx 3、两角和差公式:sin(x+-y)=sinxcosy+-cosxsiny cos(x+-y)=cosxcosy-+sinxsiny tan(x+-y)=(tanx+-tany)/(1-+tanxtany)4、二倍角公式:sin2x=2sinxcosx cos2x=cos...
常见三角函数共有三种,分别为正弦函数(sine),记作sin;余弦函数(cosine),记作cos;正切函数(tangent),记作tan。 在直角三角形ABC中,∠ACB为直角。对∠A定义:对边(opposite)BC=a、斜边(hypotenuse)AB=c、邻边(adjacent)AC=b,则存在以下关系: 函数介绍 数值表 求解方法 公式法 对于未知三角函数...
Trigonometry Rules & Formulas: Memorize the following trigonometry rules and formulas for your exam. Sin, Cos & Tan – Triangle Formulas You will need to understand sin, cos, and tan triangle formulas for your exam. Remember that the hypotenuse is the side of the triangle opposite the right ...
sin(2kπ+α)=sinα (k∈Z)cos(2kπ+α)=cosα (k∈Z)tan(2kπ+α)=tanα (k∈Z)cot(2kπ+α)=cotα(k∈Z)公式二: 设α为任意角,π+α的三角函数值与α的三角函数值之间的关系:sin(π+α)= -sinα cos(π+α)=-cosα tan(π+α)= tanα cot(π...
sin(α)sin(β)cos(α+β)=cos(α)cos(β)?sin(α)sin(β)tan(α+β)=tan(α)+tan(β)1?tan(α)tan(β)tan(α+β)=tan(α)+tan(β)1?tan(α)tan(β)差角公式sin(α?β)=sin(α)cos(β)?cos(α)sin(β)sin(α?β)=sin(α)cos(β)?cos(α)sin(β)cos(α?β)=cos(α)cos...