Question

How would you find the exact value of cos(sin^-1(5/13) -cos^-1(4/5))? Does this require a trig identity?

Answer 1

For similar problems, I had drawn a triangle. But these don't have the same hypotenuses, so I am confused.

Answer 2

\[\cos(\alpha-\beta) = \cos(\alpha)\cos(\beta)+\sin(\alpha)\sin(\beta)\]

Answer 3

then do two triangles

Answer 4

is the answer 63/65

Answer 5

yes

Answer 6

Good thank you