<prompt> Hlalosa hore na mesebetsi ea trigonometric ke efe.nan  <response>: Instruction in English: Explain what trigonometric functions are. . Response in English: Trigonometric functions are mathematical functions commonly used to describe relationships involving angles and lengths in triangles, particularly right triangles. These functions are typically defined using ratios of the sides of a right triangle, and are commonly used to solve problems in geometry, engineering, physics and many other fields. The three main trigonometric functions are sine, cosine, and tangent. Sine and cosine are typically defined as the ratios of the length of the side opposite an angle to the length of the hypotenuse, and the length of the adjacent side to the length of the hypotenuse, respectively. Tangent is defined as the ratio of the length of the side opposite an angle to the length of the side adjacent to the angle.There are also three other trigonometric functions, called secant, cosecant, and cotangent, which are the reciprocals of cosine, sine, and tangent, respectively. Trigonometric functions can be used to describe periodic phenomena, such as waves and oscillations, and are key tools in mathematical analysis, Fourier analysis and particularly in analytical geometry. They are also used in navigation, surveying, astronomy, and in many other practical applications. . Response in Sesotho: Litsebetso tsa trigonometric ke mesebetsi ea lipalo e atisang ho sebelisoa ho hlalosa likamano tse kenyelletsang li-angles le bolelele ba likhutlo-tharo, haholo-holo likhutlo tse nepahetseng. Mesebetsi ena ka tloaelo e hlalosoa ho sebelisoa likarolelano tsa mahlakore a khutlotharo e nepahetseng, me hangata e sebelisoa ho rarolla mathata a geometry, boenjiniere, fisiks le mafapha a mang a mangata. Mesebetsi e meraro ea mantlha ea trigonometric ke sine, cosine, le tangent. Sine le cosine hangata li hlalosoa e le likarolelano tsa bolelele ba lehlakore le shebaneng le angle ho bolelele ba hypotenuse, le bolelele ba lehlakore le bapileng le bolelele ba hypotenuse, ka ho latellana. Tangent e hlalosoa e le karo-karolelano ea bolelele ba lehlakore le shebaneng le khutlo ho bolelele ba lehlakore le bapileng le khutlo. Hape ho na le mesebetsi e meng e meraro ea trigonometric, e bitsoang secant, cosecant, le cotangent, e leng li-reciprocals tsa cosine, sine, le tangent, ka ho latellana. Mesebetsi ea Trigonometric e ka sebelisoa ho hlalosa liketsahalo tsa nako le nako, joalo ka maqhubu le ho thothomela, me ke lisebelisoa tsa bohlokoa tlhahlobong ea lipalo, tlhahlobo ea Fourier haholo-holo ho geometry ea tlhahlobo. Li boetse li sebelisoa ho tsamaisa likepe, ho etsa lipatlisiso, thuto ea linaleli le litsebetsong tse ling tse ngata tse sebetsang. 