[tex] \tan(18) \tan(288) + \sin(32) \sin(148) - \sin(302) \sin(122) = \tan(18) \tan(270 + 18) + \sin(32) \sin(180 - 32) - \sin(270 + 32) \sin(90 + 32) = \tan(18) \times ( - \cot(18) ) + \sin(32) \sin(32) - ( - \cos(32) ) \cos(32) = - 1 + { \sin(32) }^{2} + { \cos(32) }^{2} = - 1 + 1 = 0[/tex]
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[tex] \tan(18) \tan(288) + \sin(32) \sin(148) - \sin(302) \sin(122) = \tan(18) \tan(270 + 18) + \sin(32) \sin(180 - 32) - \sin(270 + 32) \sin(90 + 32) = \tan(18) \times ( - \cot(18) ) + \sin(32) \sin(32) - ( - \cos(32) ) \cos(32) = - 1 + { \sin(32) }^{2} + { \cos(32) }^{2} = - 1 + 1 = 0[/tex]