To find the cosine of the negative angle, you can use the following trigonometric identity:
cos−θ-θ−θ = cosθθθ
Therefore, cos−SinA-SinA−SinA = cosSinASinASinA
Since SinA = √3/2, we can use the Pythagorean theorem to calculate the cosine. CosA = ±√1−Sin2(A)1 - Sin^2(A)1−Sin2(A). So, in this case:
cosAAA = ±√1−(√3/2)21 - (√3/2)^21−(√3/2)2 cosAAA = ±√1−3/41 - 3/41−3/4 cosAAA = ±√1/41/41/4 cosAAA = ±1/2
Therefore, the cosine of -SinA is the same as the cosine of SinA, which is ±1/2.
To find the cosine of the negative angle, you can use the following trigonometric identity:
cos−θ-θ−θ = cosθθθ
Therefore, cos−SinA-SinA−SinA = cosSinASinASinA
Since SinA = √3/2, we can use the Pythagorean theorem to calculate the cosine. CosA = ±√1−Sin2(A)1 - Sin^2(A)1−Sin2(A). So, in this case:
cosAAA = ±√1−(√3/2)21 - (√3/2)^21−(√3/2)2 cosAAA = ±√1−3/41 - 3/41−3/4 cosAAA = ±√1/41/41/4 cosAAA = ±1/2
Therefore, the cosine of -SinA is the same as the cosine of SinA, which is ±1/2.