Question

Question #7af81

Answer 1

`sin t = +- 4/5`

Explanation:

`cos t = 3/5`
`sin^2 t = 1 - cos^2 t = 1 - 9/25 = 16/25`
`sin t = +- 4/5`
There are 2 opposite values of sin t.
On the trig unit circle:
`cos t = 3/5` --> `t = +- 53^@13` -->
a. If t = 53.13 --> `sin t = 4/5`
b. If t = - 53.13 --> `sin t = - 4/5`

Answer 2

`4/5` or `0.8`

Explanation:

`Cos theta=3/5=0.6`

`:.Arc cos(Cos^-1)0.6=(53.13010235°) 53°7'48.37''`

`:.theta=53°7'48.37''`

`:.Sin theta=0.8` or `4/5`