Find the value of a if (sin A + cosec A) ^2 + (cos A + sec A) ^2 = a + tan^2A + cot^2A (a) 5 (b) 4 (c) 0 (d) 7
Find the value of a if (sin A + cosec A)2 + (cos A + sec A)2 = a + tan2A + cot2A (a) 5 (b) 4 (c) 0 (d) 7
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(d) (sinA + cosecA)2 + (cosA + secA)2
sin2A + cosec2A + 2sin A cosec A + cos2A + sec2A + 2 secA cosA
(sin2A + cos2A) + cosec2A + 2 + sec2A + 2
1 + 4 + 1 + cot2A + 1 + tan2 A
7 + cot2 A + tan2 A
(sinA + cosecA)2 + (cosA + secA)2
= 7 + cot2A + tan2A
Hence, a = 7
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