What is the value of cos(240)-cos(0) ?

The value of cos(240)-cos(0) is -3/2

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cos(240)-cos(0)

cos (24 0^{\circ}) - cos (0^{\circ})

- \frac{3}{2}

Solution steps

cos (24 0^{\circ}) - cos (0)

Rewrite using trig identities:

- 2 sin^{2} (12 0^{\circ})

= - 2 sin^{2} (12 0^{\circ})

Use the following trivial identity:

sin (12 0^{\circ}) = \frac{3}{2}

= - 2 (\frac{3}{2})^{2}

Simplify

- 2 (\frac{3}{2})^{2} : - \frac{3}{2}

= - \frac{3}{2}

- cot (- \frac{π}{4})

- sin (3 π)

sec (3 2^{\circ})

arccsc (- 7)

arctan (\frac{4}{- 2})