(SecA - 1)^2 - (tan A - Sin A)^2=(1-CosA)^2
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Answer:
Step-by-step explanation:
LHS=(SecA - 1)^2 - (tan A - Sin A)^2=(1-CosA)^2
=sec²A-2secA+1-tan²A-sin²A+2tanAsinA
=sec²A-tan²A+1--sin²A-2secA+tanAsinA
=1+cos²A-2/cosA+sin²A/cosA
=1+cos²A-2/cosA(1-sin²A)
=1+cos²A-2cos²A/cosA
=1+cos²A-2cosA
=(1-cosA)²=RHS
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