Answer:
- a = 2.084
- b = 2.148
- A = 44°
Explanation:
You want the missing sides and angle in right triangle ABC with hypotenuse AB = 3 and angle B = 46°.
Trig functions
The relevant trig functions are ...
Cos = Adjacent/Hypotenuse
a = AB·cos(B) = 3·cos(46°) ≈ 2.084
and
Sin = Opposite/Hypotenuse
b = AB·sin(B) = 3·sin(46°) ≈ 2.158
Angle
The sum of angles is 180°, so angle A is the complement of angle B:
A = 90° -46° = 44°
The missing measures are ...
- a = 2.084
- b = 2.158
- A = 44°
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Additional comment
The attachment shows a conversion from a vector of length 3 at an angle of 46° to its rectangular components: (AB)∠B ⇒ a +bi. Many calculators can do polar to rectangular conversion in one form or another, so you don't have to compute the side lengths separately.
The calculator mode must be set to DEGrees.
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