Question

(sin teta - cos teta)^2-(sin teta +cos teta)^2​

Answer 1

Answer:

$( {sin \theta \: - cos \theta)}^{2} - ( {sin \theta \: + cos \theta)}^{2} \\ {sin}^{2} \theta \: + {cos}^{2} \theta - 2sin \theta \: cos \theta \: - ({sin}^{2} \theta \: + {cos}^{2} \theta + 2sin \theta \: cos \theta) \\ {sin}^{2} \theta \: + {cos}^{2} \theta - 2sin \theta \: cos \theta - {sin}^{2} \theta \: - {cos}^{2} \theta - 2sin \theta \: cos \theta \\ = - 4sin \theta \: cos \theta \\ = - 2 \times 2 sin \theta \: cos \theta \\ = - 2sin2 \theta$

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