三角函数表值对照表?
常用三角函数值对照表
sin0=sin0°=0
cos0=cos0°=1
tan0=tan0°=0sin15=0.650;
sin15°=0.259
cos15=-0.759;cos15°=0.966
tan15=-0.855;tan15°=0.268
sin30°=1/2
cos30°=0.866;
tan30°=0.577;
sin45°=0.707;
cos45°=0.707
tan45=1.620;tan45°=1
sin60=-0.305;sin60°=0.866
cos60=-0.952;cos60°=1/2
tan60=0.320;tan60°=1.732
sin75=-0.388;sin75°=0.966
cos75=0.922;cos75°=0.259
tan75=-0.421;tan75°=sin75°/cos75°=3.732
sin90=0.894;sin90°=cos0°=1
cos90=-0.448;cos90°=sin0°=0
tan90=-1.995;tan90°不存在
sin105=-0.971;sin105°=cos15°
cos105=-0.241;cos105°=-sin15°
tan105=4.028;tan105°=-cot15°
sin120=0.581;sin120°=cos30°
cos120=0.814;cos120°=-sin30°
tan120=0.713;tan120°=-tan60°
sin135=0.088;sin135°=sin45°
cos135=-0.996;cos135°=-cos45°
tan135=-0.0887;tan135°=-tan45°
sin150=-0.7149;sin150°=sin30°
cos150=-0.699;cos150°=-cos30°
tan150=-1.022;tan150°=-tan30°
sin165=0.998;sin165°=sin15°
cos165=-0.066;cos165°=-cos15°
tan165=-15.041;tan165°=-tan15°
sin180=-0.801;sin180°=sin0°=0
cos180=-0.598;cos180°=-cos0°=-1
tan180=1.339;tan180°=0
sin195=0.219;sin195°=-sin15°
cos195=0.976;cos195°=-cos15°
tan195=0.225;tan195°=tan15°
sin360=0.959;sin360°=sin0°=0
cos360=-0.284;cos360°=cos0°=1
tan360=-3.380;tan360°=tan0°=0
特殊角三角函数值
sin1=0.01745240643728351
sin2=0.03489949670250097
sin3=0.05233595624294383
sin4=0.0697564737441253
sin5=0.08715574274765816
sin6=0.10452846326765346
sin7=0.12186934340514747
sin8=0.13917310096006544
sin9=0.15643446504023087
sin10=0.17364817766693033
sin11=0.1908089953765448
sin12=0.20791169081775931
sin13=0.22495105434386497
sin14=0.24192189559966773
sin15=0.25881904510252074
sin16=0.27563735581699916
sin17=0.2923717047227367
sin18=0.3090169943749474
sin19=0.3255681544571567
sin20=0.3420201433256687
sin21=0.35836794954530027
sin22=0.374606593415912
sin23=0.3907311284892737
sin24=0.40673664307580015
sin25=0.42261826174069944
sin26=0.4383711467890774
sin27=0.45399049973954675
sin28=0.4694715627858908
sin29=0.48480962024633706
sin30=0.49999999999999994
cos1=0.9998476951563913
cos2=0.9993908270190958
cos3=0.9986295347545738
cos4=0.9975640502598242
cos5=0.9961946980917455
cos6=0.9945218953682733
cos7=0.992546151641322
常用三角函数值表?
常用三角函数公式有哪些
两角和公式
sin(A+B)=sinAcosB+cosAsinB
sin(A-B)=sinAcosB-cosAsinB
cos(A+B)=cosAcosB-sinAsinB
cos(A-B)=cosAcosB+sinAsinB
tan(A+B)=(tanA+tanB)/(1-tanAtanB)
tan(A-B)=(tanA-tanB)/(1+tanAtanB)
cot(A+B)=(cotAcotB-1)/(cotB+cotA)
cot(A-B)=(cotAcotB+1)/(cotB-cotA)
倍角公式
tan2A=2tanA/(1-tan2A)
Sin2A=2SinA?CosA
Cos2A=Cos^2A–Sin2A
=2Cos2A—1
=1—2sin^2A
三倍角公式
sin3A=3sinA-4(sinA)3;
cos3A=4(cosA)3-3cosA
tan3a=tana?tan(π/3+a)?tan(π/3-a)
半角公式
sin(A/2=√{(1–cosA)/2}
cos(A/2)=√{(1+cosA)/2}
tan(A/2)=√{(1–cosA)/(1+cosA)}
cot(A/2)=√{(1+cosA)/(1-cosA)}
tan(A/2)=(1–cosA)/sinA=sinA/(1+cosA)
和差化积
sin(a)+sin(b)=2sin[(a+b)/2]cos[(a-b)/2]
sin(a)-sin(b)=2cos[(a+b)/2]sin[(a-b)/2]
cos(a)+cos(b)=2cos[(a+b)/2]cos[(a-b)/2]
cos(a)-cos(b)=-2sin[(a+b)/2]sin[(a-b)/2]
tanA+tanB=sin(A+B)/cosAcosB
积化和差
sin(a)sin(b)=-1/2*[cos(a+b)-cos(a-b)]
cos(a)cos(b)=1/2*[cos(a+b)+cos(a-b)]
sin(a)cos(b)1/2*[sin(a+b)+sin(a-b)]
cos(a)sin(b)1/2*[sin(a+b)-sin(a-b)]
三角函数值表完整版?
sin0=sin0°=0
cos0=cos0°=1
tan0=tan0°=0
sin15=0.650;sin15°=(√6-√2)/4
cos15=-0.759;cos15°=(√6+√2)/4
tan15=-0.855;tan15°=2-√3
sin30=-0.988;sin30°=1/2
cos30=0.154;cos30°=√3/2
tan30=-6.405;tan30°=√3/3
sin45=0.851;sin45°=√2/2
cos45=0.525;cos45°=sin45°=√2/2
tan45=1.620;tan45°=1
sin60=-0.305;sin60°=√3/2
cos60=-0.952;cos60°=1/2
tan60=0.320;tan60°=√3
sin75=-0.388;sin75°=cos15°
cos75=0.922;cos75°=sin15°
tan75=-0.421;tan75°=sin75°/cos75° =2+√3
sin90=0.894;sin90°=cos0°=1
cos90=-0.448;cos90°=sin0°=0
tan90=-1.995;tan90°不存在
sin105=-0.971;sin105°=cos15°
cos105=-0.241;cos105°=-sin15°
tan105=4.028;tan105°=-cot15°
sin120=0.581;sin120°=cos30°
cos120=0.814;cos120°=-sin30°
tan120=0.713;tan120°=-tan60°
sin135=0.088;sin135°=sin45°
cos135=-0.996;cos135°=-cos45°
tan135=-0.0887;tan135°=-tan45°
sin150=-0.7149;sin150°=sin30°
cos150=-0.699;cos150°=-cos30°
tan150=-1.022;tan150°=-tan30°
sin165=0.998;sin165°=sin15°
cos165=-0.066;cos165°=-cos15°
tan165=-15.041;tan165°=-tan15°
sin180=-0.801;sin180°=sin0°=0
cos180=-0.598;cos180°=-cos0°=-1
tan180=1.339;tan180°=0
sin195=0.219;sin195°=-sin15°
cos195=0.976;cos195°=-cos15°
tan195=0.225;tan195°=tan15°
sin360=0.959;sin360°=sin0°=0
cos360=-0.284;cos360°=cos0°=1
tan360=-3.380;tan360°=tan0°=0