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Answer:
1. sin A = 36.87°
2. cos A = 36.87°
3. tan A = 36.87°
4. sin B = 53.13°
Explanation:
1. sin A
sine = opposite ÷ hypotenuse
sin A = 3 ÷ 5
sin A = 0.6
A = sin-¹ (0.6)
A = 36.869
36.869 can be rounded to 36.87 to 2 decimal points
2. cos A
cos = adjacent ÷ hypotenuse
cos A = 4 ÷ 5
cos A = 0.8
A = 36.87
3. tan A
tan = opposite ÷ adjacent
tan A = 3 ÷ 4
tan A = 0.75
4. sin B
sin B = 4 ÷ 5
sin B = 0.8
B = 53.13
Sin A = 3/5 , A = Sin-1(3/5) = 36.86°
Cos A = 4/5 , A = Cos-1(4/5) = 36.86°
Tan A = 3/5 ÷ 4/5 = (3×5) ÷ (4×5) = 3/4 = Sin A /Cos A
Note: we have cancelled 5 to become 3/4
A = Tan-1(3/4) = 36.86°
Sin B = 4/5 , B = Sin-1(4/5) = 53.13°
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