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If tan θ = 2, then the value of 8sinθ + 5cosθ is : sin3θ + 2cos3θ + 3 cosθ
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21 5 -
8 5
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7 5 -
16 5
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Correct Option: A
Expression
| = | sin3θ + 2cos3θ + 3cos θ |
Dividing numerator and denominator by cos θ,
| = | tan θ . sin²θ + 2cos²θ + 3 |
| = | 2sin² θ + 2cos²θ + 3 |
| = | 2(sin² θ + 2cos²θ) + 3 |
| = | = | 5 | 5 |
