The sin of 30 is sqr(3)/2
so 6 * sqr(30) is 6 * sqr(3)/2
this is also 6/2 * sqr(3) which simplifies to 3 * sqr(3) which is approximately 5.19615242
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Sin theta of 30 degrees is1/2
28 The Law of Sines: a/sin A = b/sin B = c/sin C 24/sin 42˚ = c/sin (180˚ - 42˚ - 87˚) since there are 180˚ in a triangle. 24/sin 42˚ = c/sin 51˚ c = 24(sin 51˚)/sin 42˚ ≈ 28
1/sin x = csc x
sin(30) = sin(90 - 60) = sin(90)*cos(60) - cos(90)*sin(60) = 1*cos(60) - 0*sin(60) = cos(60).
The value of tan and sin is positive so you must search quadrant that tan and sin value is positive. The only quadrant fill that qualification is Quadrant 1.