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Prove the following identity     a ) (sinA + cosec A)² + (cosA + secA)² = 5 + sec²A.cosec²A-      2.    Find the equation of the perpendicular bisector of the line segment joining A(4,2) and B(-3,-5)     3.    Using properties of proportion,find x : y if      a)  (x³+12x)/(6x² +8) = (y³+27y)/(9y²+27)
Asked by Sanjeev | 22 Feb, 2018, 05:41: PM

L.H.S.=Sin²A+cosec²A+2sinA.cosecA+ cos²A+sec²A+2cosA.secA

Sin²A+cos²A+2sinA.1/sinA+2cosA.1/cosA+cosec²A+sec²A

1+2+2+(1/sin²A)+(1/cos²A)

5+(sin²A+cos²A)/(cos²A.sin²A)

5+1/(cos²A.sin²A)

5+sec²A.cosec²A

=R.H.S.

Answered by Sneha shidid | 22 Feb, 2018, 09:06: PM

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