What is the value of cos(1050) ?

The value of cos(1050) is (sqrt(3))/2

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cos(1050)

cos (105 0^{\circ})

\frac{3}{2}

Solution steps

cos (105 0^{\circ})

cos (105 0^{\circ}) = cos (33 0^{\circ})

= cos (33 0^{\circ})

Rewrite using trig identities:

cos (18 0^{\circ}) cos (15 0^{\circ}) - sin (18 0^{\circ}) sin (15 0^{\circ})

= cos (18 0^{\circ}) cos (15 0^{\circ}) - sin (18 0^{\circ}) sin (15 0^{\circ})

Use the following trivial identity:

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

Use the following trivial identity:

cos (15 0^{\circ}) = - \frac{3}{2}

Use the following trivial identity:

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

Use the following trivial identity:

sin (15 0^{\circ}) = \frac{1}{2}

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

Simplify

= \frac{3}{2}

cos (\frac{27 π}{2})

arccos (\frac{4}{5 5})

cos (4 5^{\circ}) - csc (3 0^{\circ})

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

tan (- 0.1)