Answer No.8(1) Fast and correct.
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Step-by-step explanation:
LHS =( sin-cosec) (cos-sec)
= ( sin-1/sin) ( cos-1/cos)
= ( sin^2-1/sin ) ( cos^2-1/cos)
= ( cos^2 /sin) ( sin^2/cos )
=sin×cos ...... (1)
RHS = 1/tan+cot
= 1/ (sin/cos) +(cos/sin)
= 1/(sin^2 +cos^2/cos×sin)
=cos×sin
sin^2+cos^2
= sin×cos ....... (2)
From (1) and (2)
LHS=RHS
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