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sin 28° = 15/17 = perpendicular/hypotenuse So perpendicular = 15 & hypotenuse = 17 so base = 8 But for angle 62° which is complimentary of 28°, perpendicular = 8 & base = 15. So tan 62° = perpendicular/base = 8/15 Alternate Method sin 28° = 15/17 or cos (90°-28°) = 15/17 or cos 62° = 15/17 -----(1) Squaring on both sides, we will get cos2 62° = 225/289 or (1 - sin2 62°) = 225/289 or sin2 62° = 1 - 225/289 = 64/289 = So sin 62° = 8/17 ----(2) Hence tan 62° = sin62°/cos62° =
=
12, 12, 30, 120, ?, 4620
155, 161, 173, 191, ?, 245
37, 57, 82, ?, 147, 187
196, 196, 203, 229, 292, ?
178 168 148 ? 78 28
What will be come in place of (?) in the given number series.
2, 3, 5, 7, 11, ?, 17
1, 7, 37, 187, 937, ?
What will come in place of the question mark (?) in the following series?
4, 11, 32, 95, 284, 851, ?
21, 28, 39, 52, ?, 88