Question
[(sinx – 2sin 3 x)/(2cos 3 x –
cosx)] 2  + 1, x ≠45 o , is equal to:Solution
[(sinx – 2sin 3 x)/(2cos 3 x – cosx)] 2  + 1
= [sinx(1 – 2sin 2 x)/cosx(2cos 2 x – 1)] 2  + 1 = [tanx(cos2x)/(cos2x)] 2  + 1 = tan 2 x + 1
= sec 2 x
41 28 ? 15 67 2
3 15 35 63 99 ?
4                14                  130                     512                �...
1 1 8 4 27 9 81
...Select the number from among the given options that can replace the question mark (?) in the following series.
24, 35, 51, 73, 102, ?
4 5 12 39 160 ?
...10, 22, 46, ?, 130, 190
3  16  22  ?   98   206
542Â Â Â Â Â Â 541Â Â Â Â Â Â Â 532Â Â Â Â Â Â Â 507 Â Â Â Â Â Â Â 458Â Â Â Â Â Â Â ?
...If   314     306      x      269       394    178    1480
Then, 1/3 x + 2x - x = ?
...
