Question

find the exact value of sin(cos inverse(-3/7)+ tan inverse (9/4))

Answer 1

\[\sin(\cos^{-1} (-3/7)+ \tan^{-1} (9/4))\]

Answer 2

arccosine and arctan given you the angle given that the result are those numbers

Answer 3

sin(30 degrees) = 1/2
arcsin(1/2) = 30 degrees

Answer 4

The first thing to do would be to find the angles from the arc-trig functions

Answer 5

Can you do those?

Answer 6

You could also draw two triangles

Answer 7

(-3/7) is cos of angle a, (9/4) is the tangent of angle b

Answer 8

sin(a+b) = sin(a)+cos(b)+cos(a)+sin(b)

Answer 9

fixed, the 7 should have been positve