INVERSE TRIG FUNCTIONS Expressions (Page 3 of 8)

Next, evaluate the expression arcsin(17.31sin(73.01deg)/20.24). This expression might result from a problem involving the Law of Sines. Because the numerator and denominator are single terms, no additional parentheses are necessary.

 CLEAR key.

 2nd inverse sine key. 17.31 SIN key. 73.01 Right parenthesis key. Divide key. 20.24 Right parenthesis key. ENTER key.

 Calculator screen image.

Rounding to the nearest tenth degree, the acute angle would be 54.88°. To check for the possibility of a second, obtuse triangle, we treat this as a reference angle and subtract from 180° : 180°- 54.88° = 125.12°. (Since 73.01° + 125.12° exceeds 180°, there cannot be an obtuse triangle that satisfies the given conditions.)
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