For all values of α the given expression is equal to:
(sinα+cosecα)2+(cosα+secα)2−(tan2α+cot2α)
A
0
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B
2
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C
4
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D
7
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Solution
The correct option is D7 (sinα+cosecα)2+(cosα+secα)2−(tan2α+cot2α) =sin2α+cosec2α+2+cos2α+sec2α+2−tan2α−cot2α =4+sin2α+cos2α+sec2α−tan2α+cosec2α−cot2α=7