Question
If sec²x + csc²x = 10, find the value of tan²x +
cot²x.Solution
Using the identities sec²x = 1 + tan²x and csc²x = 1 + cot²x, substitute: (1 + tan²x) + (1 + cot²x) = 10. Simplify: 2 + tan²x + cot²x = 10. tan²x + cot²x = 8. Correct answer: d
6 2 8 ? 84 416
...2, 12, 36, 80, ?, 252
2120 1976 2097 1997 ? 2014
...32, 8, 4, ?, 3, 3.75
1400 350 700 175 ? 87.5
...12 78 385 ? 4629 9260
...4 ? 113 449 1343 2681
...8 43 209 82 9 2479�...
80, 255, 624, ?, 2400, 4095
There are three series given below which are following with the same pattern.
Series I: 9, 10, 32, 163, 1145
Series II: 4, B, C, D, E
...