Answer:
sin(309) = 0.902 cos(309) = 0.432
Explanation:
We can find the nearest possible value and can approximate them for our answer.
now, nearest value possible can be considered 307 in case of 309 angle as 307 can be written as 360-53
and we know the values of sin(360) , cos (360) and sin(53) , cos (53) and the formula to be used is
sin(A-B) = sinAcosB - cosAsinB and
cos(A-B) = cosAcosB + sinAsinB.
Taking A as 360 and B as 53
and substituting values, we get ,
sin(A-B) = (3/5)*0.9 - 1*4/5 = approx 0.902 for sin(309) and
cos(A-B) = 1*3/5 + 4/5*0.9 = approx 0.432 for cos(309).
