Answer:
(a) 52°
(b) 128°
Explanation:
You want the angle whose sine is 0.79 (a) in the interval [0, 90°], and (b) in the interval [90°, 180°].
a) Inverse sine
The inverse sine function is used to find the angle when its sine is known.
sin(x) = 0.79
x = arcsin(0.79) ≈ 52°
x ≈ 52° in the domain 0 ≤ x ≤ 90°.
b) Other values
The sine function is symmetrical about x = 90°, so other angles for which sin(x) = 0.79 can be found as 180° -x.
180° -52° = 128°
x = 128° in the domain 90° ≤ x ≤ 180°.
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Additional comment
The attachment shows the angles and that their sine is 0.79. Note that the calculator is set to Degrees mode.
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