(1+sin theta)(1-sin theta)÷(1+cos theta)(1-cos theta)
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-cot² θ
Step-by-step explanation:
==: (1+sin theta) (1-sin theta) ÷ (1+cos theta) (1-cos theta)
==: 1 - sin² θ ÷ 1 - cos² θ
==: 1 - sin² θ ÷ sin² θ
==: 1/sin θ - sin²θ/sin²θ
==: cosec² θ - 1
==: -cot² θ
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