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Step-by-step explanation:
Q60. tan²A-sin²A
=(sin²A/cos²A)-sin²A
=sin²A-sin²Acos²A/cos²A
=sin²A(1-cos²A)/cos²A
=sin²A.sin²A/cos²A
=tan²A.sin²A
Q61.(secA+cosA)(secA-cosA)
=sec²A-cos²A
=1+tan²A-1+sin²A
=tan²A+sin²A
Q62.(secA+tanA-1)(secA-tanA+1)
={secA+(tanA-1)}{secA-(tanA-1)}
=(secA)²-(tanA-1)²
=sec²A-(tan²A-2tanA+1)
=sec²A-tan²A+2tanA-1
=1+2tanA-1
=2tanA
=2/cotA
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