Answer:
0.3342
Step-by-step explanation:
Given the expression sin(cos^-1(5/6)-tan^-1(1/4)), to find the exact value of the expression, we need to first calculate the value in parenthesis i.e
cos^-1(5/6)-tan^-1(1/4)
= cos^-1(5/6)-tan^-1(1/4)
= cos^-1(0.8333)-tan^-1(0.250)
= 33.56 - 14.04
= 19.52
sin(cos^-1(5/6)-tan^-1(1/4)) = sin(19.52)
sin(19.52) = 0.3342
Hence the value of the expression sin(cos^-1(5/6)-tan^-1(1/4)). is 0.3342
