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Find the least positive x in degree for ...

Find the least positive x in degree for which
`tan x= (cos5^(@)cos20^(@)+cos35^(@)cos50^(@)-sin5^(@)sin20^(@)-sin35^(@)sin50^(@))/(sin5^(@)cos20^(@)-sin35^(@)cos50^(@)+cos5^(@)sin20^(@)-cos35^(@)sin50^(@))`

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Verified by Experts

The correct Answer is:
`x=120^(@)`
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The smallest positive value of x (in degrees) for whichcos tan x=(cos5^(@)cos20^(@)+cos35^(@)cos50^(@)-sin50^(@)sin20^(@)-sin35^(@)sin50^(@))/(sin5^(@)cos20^(@)-sin35^(@)cos50^(@)+cos5^(@)sin20^(@)-cos35^(@)sin50^(@))

sin5^(@)cos85^(@)+cos5^(@)sin85^(@)

Find the least positive x in degree for which tanx=(cos5^0cos20^0+cos35^0cos50^0-sin5^0sin20^0-sin35^0sin50^0)/(sin5^0cos20^0-sin35^0cos50^0+cos5^0sin20^0-cos35^0sin50^0)

Find the least positive value of x in degrees for which tanx=(cos5^0cos20^0+cos35^0cos50^0-sin5^0sin20^0-sin35^0sin50^0)/(sin5^0cos20^0-sin35^0cos50^0+cos5^0sin20^0-cos35^0sin50^0)

cos25^(0)cos35^(0)-sin10^(0)sin20^(0) ,

(2cos40^(@)-cos20^(@))/(sin20^(@))

(2cos40^(@)-cos20^(@))/(sin20^(@))

(cos20^(@)-sin20^(@))/(cos20^(@)+sin20^(@))=tan25^(@)

Evaluate : sin50^(@)cos40^(@)+cos40^(@)+cos50^(@)sin40^(@)

(2cos40^(@)-cos20^(@))/(sin20^(@))=?

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