What is the value of cos(570) ?

The value of cos(570) is -(sqrt(3))/2

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cos(570)

cos (57 0^{\circ})

- \frac{3}{2}

Solution steps

cos (57 0^{\circ})

cos (57 0^{\circ}) = cos (21 0^{\circ})

= cos (21 0^{\circ})

Rewrite using trig identities:

cos (18 0^{\circ}) cos (3 0^{\circ}) - sin (18 0^{\circ}) sin (3 0^{\circ})

= cos (18 0^{\circ}) cos (3 0^{\circ}) - sin (18 0^{\circ}) sin (3 0^{\circ})

Use the following trivial identity:

cos (18 0^{\circ}) = (- 1)

Use the following trivial identity:

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

Use the following trivial identity:

sin (18 0^{\circ}) = 0

Use the following trivial identity:

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

= (- 1) \frac{3}{2} - 0 \cdot \frac{1}{2}

Simplify

= - \frac{3}{2}

arctan (\frac{12}{9})

csc (- 2 π)

- sin (\frac{2 π}{3})

csc (- 18 0^{\circ})

2 sin (9 0^{\circ})