How to find exact value of inverse trig functions

Asked by maham237 @ 11/01/2021 in Mathematics viewed by 297 People

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) =__

Answered by maham237 @ 11/01/2021

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

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