What is the value of sin(60-90) ?

The value of sin(60-90) is -1/2

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sin(60-90)

sin (6 0^{\circ} - 9 0^{\circ})

- \frac{1}{2}

Decimal Notation

- 0.5

Solution steps

sin (6 0^{\circ} - 9 0^{\circ})

Simplify

= sin (- 3 0^{\circ})

Use the following property:

sin (- x) = - sin (x)

sin (- 3 0^{\circ}) = - sin (3 0^{\circ})

= - sin (3 0^{\circ})

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 0^{\circ})

sin (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= \frac{1}{2}

= - \frac{1}{2}

arctan (\frac{95.83}{172.21})

4 (cos (\frac{5 π}{3}) + i sin (\frac{5 π}{3}))

14 sin (4 5^{\circ})

3 π - \frac{sin ( 2 \cdot 0.5386 )}{4 ( 0.5386 )}

sin (\frac{6}{7})