How do you find inverse trig functions without calculator?

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How do you find inverse trig functions without calculator?

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Answer 1 · 2018-03-28T15:15:12

See below

Explanation:

$3$ $3$ rules:

$(1)$ $(1)$ Know that $cos$ $cos$ , $sec$ $sec$ functions are restricted to quad $1$ $1$ and $2$ $2$
$(2)$ $(2)$ Know that $tan$ $tan$ , $cot$ $cot$ , $sin$ $sin$ , $csc$ $csc$ are restricted to quad $1$ $1$ and $4$ $4$
$(3)$ $(3)$ And when you go to quadrant $4$ $4$ with $tan$ $tan$ , $cot$ $cot$ , $sin$ $sin$ , $csc$ $csc$ , use negative angles

1) $arcsin (1) = \frac{π}{2}$ $arcsin(1)= pi/2$
2) $arctan (- 1) = - \frac{π}{4}$ $arctan(-1)= -pi/4$
3) $a r c sec (\frac{1}{2}) = D N E$ $arcsec(1/2)= DNE$
4) $a r c csc (- \sqrt{2}) = - \frac{π}{4}$ $arc csc (-sqrt2)= -pi/4$

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How do you find inverse trig functions without calculator?

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