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If 8 sin 2 A + 4 cos 2 A = 5, THEN 4 sin 2 A + 8 cos 2 A is equal to?


If  8 sin2 A + 4 cos2 A = 5, THEN 4 sin2 A + 8 cos2 A is equal to?


Grade:12th Pass

1 Answers

vikas askiitian expert
509 Points
10 years ago

sin2A = 1-cos2A         ............1

8sin2A + 4cos2A = 5          ..........2       (given)

putting 1 in 2

8 - 8cos2 + 4cos2A = 5

cos2A = 3/4

sin2A = 1-cos2A =  1/4

so , value of 4sin2A+8cos2A = 4(1/4) + 8(3/4)

             =7

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