Question

Given that the point (16, -12) is on the terminal side of an angle, o, find the exact value of the following: sin(0)- Preview cos(6) Preview tan(0)= Preview csc(0)= Preview sec(@= Preview cot(0)= Preview

Answer 1

Sol is on the terminal Given side that of an the point angle y 116.-12) o Hentax (16,-12) we know that the side In a of an circle angle tarminal point is (hy) o then Pln,y) where r= rioso y = asino - and r= 22 + y2 So here, In this question. r= S16)2+(-1212 r=1250+ mu = Jyoo r= 20 So, now , ond y = rsine x=8loso 16= 20 coso coso = ! -12 = 20 sino - 2 = sino [sino = - 4

For tamo , we know that tamo = sino coso For Coto , we know se that Coto = sino 1 Cot0 = - For seco we know that seco= seco= coso 3 slus Juist seco seco = . For coseco cseco = sino w SECO= Moseco = -2 200