Question

spx?homeworkld=569647973&questionid=1&flushed=false MAT 165-41 College Trigonometry Homework: Homework Section 8.6 Score: 0 of 2 pts 3 of 13 (10 complete) 8.6.15 Use the information given about the angle 0, 0 sos 2, to find the exact value of each trigonometric function. sec 0 = 7, sine > e e (a) sin (20) (b) cos (20) (c) sin 2 (d) cos 2 (e) tan (20) (f) tan (a) sin (20) = (Type an exact answer, using radicals as needed.)

Answer 1

Sol. Given seco=7 sinoso since see o=770 and sinoso o lies in I quadrant L Seco Now 1 and sino zo since sino Il-costo therefore sino - sino = Ji-cos²o sino = - sino 49 49-1 49 I sino = 40 49 sino 16x3 49 = sino = 43 sin20 = 2 sino.coso - sinzo 2x 453 x & sin20 = 49 CO5 20 - 2 cos²o-1 - cos 20 - 2x141-1 cosao 2x 49 - 2- 49 cosao cos 20 49 47 49

c) sino 1-Coso sine o dies in I quadront 2 2 7-1 2 sino 63 7X2 sing 3. 2 cos en It coso Venee olies in I quadrant 2 2 1+1 2 tosh & 4 7X2 N 4 coso 2 (e) tem 2o ton 20 sinzo Coszo 8.53 39 - 47 $9 - 03 47 sin 20 = 853 49 los 20 41 49 tom 20 = ALS sin 0/2 = 2 if tomo tomo cosol 14 DIN A tom 11 U 1 2 3 or 4. Aus: