高中数学三角函数知识点总结(珍藏版)

高中数学三角函数知识点总结1.特殊角的三角函数值： sin=0cos=1tan=0 sin=cos=tan= sin=cos=tan=1 sin=cos=tan= sin=1cos=0tan无意义2．角度制与弧度制的互化：1rad＝°≈57.30°=57°18ˊ1°＝≈0.01745（rad） 0 3.弧长及扇形面积公式(1)弧长公式：----是圆心角且为弧度制(2)扇形面积公式:S=r-----是扇形半径4.任意角的三角函数设是一个任意角，它的终边上一点p（x,y）,r=(1)正弦sin=余弦cos=正切tan=(2)各象限的符号：记忆口诀：一全正，二正弦，三两切，四余弦sincostan5.同角三角函数的基本关系：（1）平方关系：sin2+cos2=1（2）商数关系：=tan（）6.诱导公式：记忆口诀：把的三角函数化为的三角函数，概括为：奇变偶不变，符号看象限。，，．，，．，，．，，．口诀：函数名称不变，符号看象限．，．，．口诀：正弦与余弦互换，符号看象限．7正弦函数、余弦函数和正切函数的图象与性质8、三角函数公式：(3)降幂公式：升幂公式：1+cos=cos2EMBEDEquation.31-cos=sin2EMBEDEquation.39、正弦定理 ：.余弦定理：;;.三角形面积定理：.—++—-xy+�EMBEDEquation.DSMT4���+O——+xyO—+�—+yO(1)两角和与差的三角函数关系sin(�EMBEDEquation.3����EMBEDEquation.3����EMBEDEquation.3���)=sin�EMBEDEquation.3���·cos�EMBEDEquation.3����EMBEDEquation.3���cos�EMBEDEquation.3���·sin�EMBEDEquation.3���cos(�EMBEDEquation.3����EMBEDEquation.3����EMBEDEquation.3���)=cos�EMBEDEquation.3���·cos�EMBEDEquation.3����EMBEDEquation.3���sin�EMBEDEquation.3���·sin�EMBEDEquation.3����EMBEDEquation.3���(2)倍角公式sin2�EMBEDEquation.3���=2sin�EMBEDEquation.3���·cos�EMBEDEquation.3���cos2�EMBEDEquation.3���=cos2�EMBEDEquation.3���-sin2�EMBEDEquation.3���=2cos2�EMBEDEquation.3���-1=1-2sin2�EMBEDEquation.3����EMBEDEquation.3���数学_1234567921.unknown_1234567953.unknown_1234567969.unknown_1234567985.unknown_1234567993.unknown_1234568001.unknown_1234568005.unknown_1234568009.unknown_1234568011.unknown_1234568013.unknown_1234568014.unknown_1234568015.unknown_1234568012.unknown_1234568010.unknown_1234568007.unknown_1234568008.unknown_1234568006.unknown_1234568003.unknown_1234568004.unknown_1234568002.unknown_1234567997.unknown_1234567999.unknown_1234568000.unknown_1234567998.unknown_1234567995.unknown_1234567996.unknown_1234567994.unknown_1234567989.unknown_1234567991.unknown_1234567992.unknown_1234567990.unknown_1234567987.unknown_1234567988.unknown_1234567986.unknown_1234567977.unknown_1234567981.unknown_1234567983.unknown_1234567984.unknown_1234567982.unknown_1234567979.unknown_1234567980.unknown_1234567978.unknown_1234567973.unknown_1234567975.unknown_1234567976.unknown_1234567974.unknown_1234567971.unknown_1234567972.unknown_1234567970.unknown_1234567961.unknown_1234567965.unknown_1234567967.unknown_1234567968.unknown_1234567966.unknown_1234567963.unknown_1234567964.unknown_1234567962.unknown_1234567957.unknown_1234567959.unknown_1234567960.unknown_1234567958.unknown_1234567955.unknown_1234567956.unknown_1234567954.unknown_1234567937.unknown_1234567945.unknown_1234567949.unknown_1234567951.unknown_1234567952.unknown_1234567950.unknown_1234567947.unknown_1234567948.unknown_1234567946.unknown_1234567941.unknown_1234567943.unknown_1234567944.unknown_1234567942.unknown_1234567939.unknown_1234567940.unknown_1234567938.unknown_1234567929.unknown_1234567933.unknown_1234567935.unknown_1234567936.unknown_1234567934.unknown_1234567931.unknown_1234567932.unknown_1234567930.unknown_1234567925.unknown_1234567927.unknown_1234567928.unknown_1234567926.unknown_1234567923.unknown_1234567924.unknown_1234567922.unknown_1234567905.unknown_1234567913.unknown_1234567917.unknown_1234567919.unknown_1234567920.unknown_1234567918.unknown_1234567915.unknown_1234567916.unknown_1234567914.unknown_1234567909.unknown_1234567911.unknown_1234567912.unknown_1234567910.unknown_1234567907.unknown_1234567908.unknown_1234567906.unknown_1234567897.unknown_1234567901.unknown_1234567903.unknown_1234567904.unknown_1234567902.unknown_1234567899.unknown_1234567900.unknown_1234567898.unknown_1234567893.unknown_1234567895.unknown_1234567896.unknown_1234567894.unknown_1234567891.unknown_1234567892.unknown_1234567890.unknown