Question

Use a calculator to find the values of the inverse trigonometric functions. Round to the nearest degree. sin–1 = __° tan–1(4) =__ ° cos–1(0.1) =__

Answer 1

Solution:

As 360°= 2 π Radian

1 Radian =$\frac{180 degree}{\pi }$  

1. Sin(-1)= Sin ($\frac{-180 degree}{\pi }$ )

 = Sin (-57°16'22")=-0.84147

2.$Tan^{-1}4=Tan(\frac{720}{\pi }})$

=$Tan^{-1}$ (229°54'32")

=75.963757 Degrees

3. $Cos^{-1}(0.1)=Cos^{-1}(\frac{18}{\pi})=Cos^{-1}(\frac{63}{11})=$

= $Cos^{-1}$(5°43'38")

= 84.26083 Degrees

Answer 2

Well, as you mentioned in the question,

you only need to replace the arguments of those functions in your calculator.

For instance, tan-1(4) = 76 °

and

cos-1(0.1) = 84°