(sin theta + cosec theta)^2+ (cos theta + sec theta)^2 = 7 + tan^2 theta + cot^2 theta
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Step-by-step explanation:
(sin+cosec)²+(cos+sec)²
=sin²+cosec²+2+cos²+sec²+2
=1+4+(1+cot²)+(1+tan²)
=7+tan²+cot²
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