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Find the value of cot π - tan π - 2tan π 32 32 16
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4cot π 8
- 0
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2cot π 8
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cot π 8
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Correct Option: A
| cot | - tan | - 2tan | ||||
| 32 | 32 | 16 |
| = | - | - 2tan | ||||
| sin(π / 32) | cos(π / 32) | 16 |
| = | - 2tan | |||
| sin(π / 32) × cos(π / 32) | 16 |
| = | - 2tan | |||
| 2sin(π / 32).cos(π / 32) | 16 |
{ ∴ cos2θ - sin2θ = cos2θ }
| = | - 2tan | |||
| sin(π / 16) | 16 |
{∴ sin 2θ = 2sinθ . cosθ }
| = 2 |  | - |  | |||
| sin(π / 16) | cos(π / 16) |
| = 2 | | | ||
| sin(π / 16) . cos(π / 16) |
| = | = 4cot | |||
| sin(π / 8) | 8 |
