Practicing Success
The value of $\frac{cos8°cos24°cos60°cos66°cos82°}{sin82°sin66°sin60°sin8°sin24°}$ is : |
1 $\frac{1}{\sqrt{2}}$ $\frac{1}{\sqrt{3}}$ 0 |
$\frac{1}{\sqrt{3}}$ |
$\frac{cos8°cos24°cos60°cos66°cos82°}{sin82°sin66°sin60°sin8°sin24°}$ Using , cos θ = sin ( 90º - θ) = $\frac{cos(90°-82°)cos(90°-66°)cos60°cos(90°-24°)°cos(90°-8°)}{sin82°sin66°sin60°sin8°sin24°}$ = $\frac{sin8°sin24°cos60°sin66°sin82°}{sin82°sin66°sin60°sin8°sin24°}$ = $\frac{cos60°}{sin60°}$ = cot60° = \(\frac{1}{√3}\)
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