Test: Trigonometry - Ambitious

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Question 1:   Convert the angle $176°15\text{'}56\text{'}\text{'}$ to the decimal degree format
$176.2$
$176.266$
$176.1556$
$176.1$
Question 2:   Convert the angle $18.315$ to the degrees, minutes and seconds
$18°18\text{'}54\text{'}\text{'}$
$18°3\text{'}15\text{'}\text{'}$
$18°20\text{'}15\text{'}\text{'}$
$18°19\text{'}03\text{'}\text{'}$
Question 3:   Convert $176°15\text{'}56\text{'}\text{'}$ to the radians to $2$ d.p.
$0.22\pi$
$0.21\pi$
$0.19\pi$
$0.2\pi$
Question 4:   Convert $3.42$ radians to the degrees to $2$ d.p.
$195°$
$196.05°$
$200°$
$195.95°$
Question 5:   Find the value of $\mathrm{cot}\left(\frac{\pi }{3}\right)$
$1.1124$
$0.5773$
$0.6732$
$1.276$
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