AP EAMCET202124 Aug 2021Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

16 3 16 5 16 7 16 is equal to

Options

A2 16
B1 8
C1 16
D2 32

Correct answer

A. 2 16

Step-by-step solution

We have, 16 3 16 5 16 7 16 = 16 3 16 ( 2 - 3 16 ) ( 2 - 16 ) aligned & = 16 3 16 3 16 16 & = 1 4 (2 16 16 2 3 16 3 16 ) aligned aligned & = 1 4 [ 8 3 8 ]= 1 4 ( 8 ( 2 - 8 ) ) & = 1 4 8 8 = 1 8 4 = 1 8 2 = 2 16 aligned

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