高中三角函数公式大全【图解】
锐角三角函数公式si
α∠α的对边斜边cosα∠α的邻边斜边ta
α∠α的对边∠α的邻边cotα∠α的邻边∠α的对边倍角公式Si
2A2Si
ACosACos2ACosASi
A12Si
A2CosA1ta
2A（2ta
A）（1ta
A）（注：Si
A是si
A的平方si
2（A））三倍角公式si
3α4si
αsi
π3αsi
π3αcos3α4ccosαt，ta
tAB降幂公式si
α1cos2α2versi
2α2cosα1cos2α2covers2α2ta
α1cos2α1cos2α推导公式一、非金属单质（F2，Cl2O2SN2PCSi，H）1、氧化性：F2H22HF阴暗处爆炸F2Xe过量XeF22F2过量XeXeF4XeF4是强氧化剂，能将M
2氧化为M
O4
F22M2MF
M表示大部分金属2F22H2O4HFO2水是还原剂
f2F22NaOH2NaFOF2H2OF22NaCl2NaFCl2F22NaBr2NaFBr2F22NaI2NaFI27F2过量I22IF7
F2Cl2等体积2ClFClF属于类卤素：ClFH2OHFHClO3F2过量Cl22ClF3ClF33H2O3HFHClO3Cl2H22HCl将H2在Cl2点燃；混合点燃、加热、光照发生爆炸3Cl22P2PCl3Cl2PCl3PCl5Cl22Na2NaCl3Cl22Fe2FeCl3Cl2CuCuCl2Cl22FeCl22FeCl3在水溶液中：Cl22Fe22Fe33ClCl22NaBr2NaClBr2Cl22Br2ClBr2Cl22KI2KClI2Cl22I2ClI23Cl2过量2KI3H2O6HClKIO33Cl2I3H2O6H6ClIO35Cl2I26H2O2HIO310HCl5Cl2I26H2O10ClIO312HCl2Na2S2NaClS↓Cl2S22ClS↓Cl2H2S2HClS↓水溶液中：Cl2H2S2H2ClS↓Cl2SO22H2OH2SO42HClCl2SO22H2O4HSO422ClCl2H2O22HClO2Cl2H2O22HClO22O23FeFe3O4O2KKO2SH2H2S2SCCS2SZ
Z
SSFeFeS既能由单质制取，又能由离子制取S2CuCu2S只能由单质制取，不能由离子制取3S2AlAl2S3只能由单质制取，不能由离子制取
fN23H22NH3N23MgMg3N2N23CaCa3N2N23BaBa3N2N26Na2Na3NN26K2K3NN26Rb2Rb3NN22Al2AlNP46H24PH3P3NaNa3P2P3Z
Z
3P2H22Li2LiH2、还原性
ta
αcotα2si
2α
ta
αcotα2cot2α
1cos2α2cosα
1cos2α2si
α
1si
αsi
α2cosα22si
a1si
sup2a12si
sup2asi
a3si
a4si
sup3acos3acos2aacos2acosasi
2asi
a2cossup2a1cosa21si
sup2acosa4cossup3a3cosasi
3a3si
a4si
sup3a4si
a34si
sup2a4si
a√32sup2si
sup2a4si
asi
sup260°si
sup2a4si
asi
60°si
asi
60°si
a4si
a2si
60a2cos60°a22si
60°a2cos60°a24si
asi
60°asi
60°acos3a4cossup3a3cosa4cosacossup2a344cosacossup2a√32sup24cosacossup2acossup230°
f4cosacosacos30°cosacos30°4cosa2cosa30°2cosa30°22si
a30°2si
a30°24cosasi
a30°si
a30°4cosasi
90°60°asi
90°60°a4cosacos60°acos60°a4cosacos60°acos60°a上述两式相比可得ta
3ata
ata
60°ata
60°a半角公式ta
A21cosAsi
Asi
A1r