(sin+cosec)power2+(cos+sec)power2=7+tanpower2+cotpower2
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Answer:
L.H.S:
( sin A + cosec A)² +(cos A +sec A)²
=sin²A+ cosec² A+ 2 sin A cosec A+ cos²A+sec²A+2 cosA secA
=(sin²A +cos² A) +(1+cot² A)+2×1+(1+tan²A)+2×1
=1+6+cot²A+tan²A
=7+tan²A+cot²A=R.H.S.
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