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Grade 10Trigonometry

(cosA+secA) holl square +(sinA+cosec) holl square =7+tan square A +cot square

Profile image of saurabh sharma
8 Years agoGrade 10
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1 Answer

Profile image of Arun
8 Years ago
Dear Saurabh
 
(Cos A + sec A)² + (sinA + cosecA)²
= cos²A + sec²A + 2 + sin²A + cosec²A +2
= 5 + 1 + tan²A + 1 + cot²A        (Sin²A +cos²A = 1)
= 7 + tan²A + cot²A
 
Regards
Arun (askIITians forum expert)