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If $sin(\theta + 18^{0})$ = $cos 60^{0}$ $(0 < \theta < 90^{0})$, then the value of $cos5\theta$ is

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If $sin(\theta + 18^{0})$ = $cos 60^{0}$ $(0 < \theta < 90^{0})$, then the value of $cos5\theta$ is
1). $\frac{1}{2}$
2). 0
3). $\frac{1}{\sqrt{2}}$
4). 1

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2 answers

0 vote
Answered by on | Votes 0 |
right answer is $\frac{1}{2}$

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Answered by on | Votes 0 |

sin ($\theta$ + 18°) = cos 60°= cos (90° – 30°) = sin 30°

= $\theta$ + 18° = 30°

= $\theta$ = 30° – 18° = 12°

= cos5$\theta$ = cos 60° = $\frac{1}{2}$ .




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