For each of the following find an angle satisfying the given

For each of the following, find an angle satisfying the given equation. (Round your answers to the nearest 0.001.)

(a) If 090 and sin()=0.111, then = degrees.

(b) If 090 and cos()=0.312, then = degrees.

(c) If 090 and tan()=954.813, then = degrees.

Solution

(a) If 090 and sin()=0.111,

then = sin^-1( 0.111)

use calculator to find the value:

   = 6.373 degrees.

b) If 090 and cos()=0.312,

then = cos^-1(0.312)

use calculator to find the value:

   = 71.820 degrees

c) If 090 and tan()=954.813,

then = tan^-1(954.813)

use calculator to find the value:

= 89.939 degrees