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Question

Write the value of the tan inverse of 0.6666 in degrees and minutes.


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Solution

Determine the value of the tan-1of 0.6666 in degrees and minutes.

Calculate the tan inverse value:

tan-1(0.6666)=0.58795645rad

Convert the radian to a degree:

0.58795645=0.58795645×180πdegreesπ=3.14159265359=0.58795645×1803.14159265359degrees=33.6874230240

Since 1°=60min.

Hence,

33.6874230240=33.687423024×60'1°=60'=2021.2453814min

Hence, the tan-1 of 0.6666 is equivalent to 33.6874230240and also is equivalent to 2021.2453814min.


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