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If cotθ = 4, then the value of 5sinθ + 3cosθ is 5sinθ − 3cosθ
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1 9 -
1 3 - 3
- 9
- None of these
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Correct Option: E
cotθ = 4 (Given)
| Expression = | ||
| 5sinθ - 3cosθ |
| = | 5 | + | |||
| sinθ | sinθ | ||||
| 5 | - | ||||
| sinθ | sinθ | ||||
[On dividing numerator and denominator by sinq]
| = | ||
| 5 - 3cotθ |
| = | = | = | |||
| 5 - 3 × 4 | 5 - 12 | 7 |
