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+clc,clear
+//example 1.10
+//To find sine,cosine and tangent functions for 75 degree
+
+//triangle_ADB, angle_BAD = 30
+AB=sqrt(3);BD=1;
+AD=sqrt(AB^2+BD^2); //pythagoras theorem
+
+//angle_DAB + angle_CAB = 75
+//triangle_ABC, angle_BAC = 45
+//pythagoras theorem and 45 degrees
+AC=AB/sqrt(2);BC=AC; 
+
+angle_BAC = 45 ; angle_DAB = 30 ;
+angle_DAE = angle_BAC + angle_DAB ;//required angle
+angle_ADE = 90 - angle_DAE ;//complement of DAE
+angle_ADB = 90 - angle_DAB ;//complement of DAB
+
+//Draw BF perpendicular to DE
+angle_BDF = angle_ADB - angle_ADE;
+angle_DBF = 90 - angle_BDF; //complement of BDF
+//By pythagoras theorem and 45 degree
+DF=sqrt(BD/2);FB=DF; 
+
+EC=FB;//parallel sides of rectangle
+FE= BC; //parallel sides of rectangle
+DE=DF+FE;//from the figure
+AE=AC-EC;//from the figure
+
+sin_DAE = DE/AD;
+cos_DAE = AE/AD;
+tan_DAE = DE/AE;
+csc_DAE = AD/DE;
+sec_DAE = AD/AE;
+cot_DAE = AE/DE;
+
+printf('sin(%d)=%f\n',angle_DAE,sin_DAE);
+printf('cos(%d)=%f\n',angle_DAE,cos_DAE);
+printf('tan(%d)=%f\n',angle_DAE,tan_DAE);
+printf('csc(%d)=%f\n',angle_DAE,csc_DAE);
+printf('sec(%d)=%f\n',angle_DAE,sec_DAE);
+printf('cot(%d)=%f\n',angle_DAE,cot_DAE);