prove that (sinA+cosA) (tan A+cotA) =secA +cosecA
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Step-by-step explanation:
P.T (sin a + cos a)(tan a + cot a) = sec a + cosec a
LHS
(sin A + cos A)(sin A / cos A + cos A / sin A)
(sin A + cos A)( sin sq A + cos sq A / cos A sin A)
(sin A + cos A)(1 / cos A sin A)
Seperating, sin A / cos A sin A + cos A / cos A sin A
After Cancelling, 1 / cos A + 1 / sin A
Which is equal to sec A + cosec A (RHS, Proved)
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