SSC CGL 10 Aug 2017 Shift 1 Paper

Question : 69 of 100

Marks: +1, -0

What is the simplified value of (cos A + sin A)(cot A + tan A ) ?

Solution:

(cos A + sin A)(cot A + tan A )
=

(\cos A + \sin A)[{\cos A}/ {\sin A}+{\sin A}/{\cos A}]

(\cos A + \sin A)[{\cos ^2A+\sin^2 A}/{ \sin A\cos A}]

{\cos A+\sin A}/{ \sin A\cos A}=1/{ \sin A}+1/{\cos A}

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