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Inverse Trigonometric Functions

Question
CBSEENMA12032615

Evaluates :

open vertical bar table row cell sin space 30 degree end cell cell cos space 30 degree end cell row cell negative sin space 60 degree end cell cell cos space 60 degree end cell end table close vertical bar

Solution
Let space increment space equals space open vertical bar table row cell sin space 30 degree end cell cell cos space 30 degree end cell row cell negative sin space 60 degree end cell cell cos space 60 degree end cell end table close vertical bar
space space space space space space space space space equals space sin space 30 degree space cos space 60 degree space plus cos space 30 degree space sin space 60 degree space equals sin space left parenthesis 30 degree space plus space 60 degree right parenthesis
space space space space space space space space space equals space sin space 90 degree space equals space 1

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