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Answer :
Given,
\( sin 67° + cos 75° \)
= \( sin (90° – 23) + cos (90° – 15°) \)
\( = \ cos 23° + sin 15° \)
[ \(\because \) \( sin( 90° - \theta) \ = \ cos \theta \) and \( cos( 90° - \theta) \ = \ sin \theta \) ]